Generate this sequence more efficiently
$begingroup$
Is there a more effecient way to generate the sequence shown below.
createOrder[n_] :=
Which[OddQ[n],
Join[Table[2 i - 1, {i, 1, (n + 1)/2}],Reverse@Table[2 i, {i, 1, (n + 1)/2}]],
EvenQ[n],
Join[Table[2 i - 1, {i, 1, n/2 + 1}],Reverse@Table[2 i, {i, 1, n/2}]]]
createOrder[#] & /@ Range[8] // MatrixForm
table sequence
asked 45 mins ago
Hubble07Hubble07
2,971721
$endgroup$
add a comment |
$begingroup$
Is there a more effecient way to generate the sequence shown below.
createOrder[n_] :=
Which[OddQ[n],
Join[Table[2 i - 1, {i, 1, (n + 1)/2}],Reverse@Table[2 i, {i, 1, (n + 1)/2}]],
EvenQ[n],
Join[Table[2 i - 1, {i, 1, n/2 + 1}],Reverse@Table[2 i, {i, 1, n/2}]]]
createOrder[#] & /@ Range[8] // MatrixForm
table sequence
asked 45 mins ago
Hubble07Hubble07
2,971721
$endgroup$
add a comment |
$begingroup$
Is there a more effecient way to generate the sequence shown below.
createOrder[n_] :=
Which[OddQ[n],
Join[Table[2 i - 1, {i, 1, (n + 1)/2}],Reverse@Table[2 i, {i, 1, (n + 1)/2}]],
EvenQ[n],
Join[Table[2 i - 1, {i, 1, n/2 + 1}],Reverse@Table[2 i, {i, 1, n/2}]]]
createOrder[#] & /@ Range[8] // MatrixForm
table sequence
asked 45 mins ago
Hubble07Hubble07
2,971721
$endgroup$
Is there a more effecient way to generate the sequence shown below.
createOrder[n_] :=
Which[OddQ[n],
Join[Table[2 i - 1, {i, 1, (n + 1)/2}],Reverse@Table[2 i, {i, 1, (n + 1)/2}]],
EvenQ[n],
Join[Table[2 i - 1, {i, 1, n/2 + 1}],Reverse@Table[2 i, {i, 1, n/2}]]]
createOrder[#] & /@ Range[8] // MatrixForm
table sequence
table sequence
asked 45 mins ago
Hubble07Hubble07
2,971721
asked 45 mins ago
Hubble07Hubble07
2,971721
asked 45 mins ago
Hubble07Hubble07
2,971721
asked 45 mins ago
Hubble07Hubble07
2,971721
asked 45 mins ago
Hubble07Hubble07
2,971721
2,971721
add a comment |
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
f[n_Integer] := Join[Range[1, #, 2], Reverse[Range[2, #, 2]]] & /@ Range[2, n];
TeXForm @ MatrixForm @ f[8]
$left(
begin{array}{c}
{1,2} \
{1,3,2} \
{1,3,4,2} \
{1,3,5,4,2} \
{1,3,5,6,4,2} \
{1,3,5,7,6,4,2} \
{1,3,5,7,8,6,4,2} \
end{array}
right)$
answered 18 mins ago
kglrkglr
179k9199410
$endgroup$
add a comment |
$begingroup$
fGetList[n_]:= (Select[Range[#], OddQ]~Join~Reverse@Select[Range[#], EvenQ]) & /@Range[n] // Rest
fGetList[10]
$
left(
begin{array}{c}
{1,2} \
{1,3,2} \
{1,3,4,2} \
{1,3,5,4,2} \
{1,3,5,6,4,2} \
{1,3,5,7,6,4,2} \
{1,3,5,7,8,6,4,2} \
{1,3,5,7,9,8,6,4,2} \
{1,3,5,7,9,10,8,6,4,2} \
end{array}
right)$
another version
fGetList2[n_?IntegerQ] :=
Flatten@MapAt[Reverse, GatherBy[Range[#], OddQ], 2] & /@ Range[2, n]
fGetList2[10]//TeXForm
$left(
begin{array}{c}
{1,2} \
{1,3,2} \
{1,3,4,2} \
{1,3,5,4,2} \
{1,3,5,6,4,2} \
{1,3,5,7,6,4,2} \
{1,3,5,7,8,6,4,2} \
{1,3,5,7,9,8,6,4,2} \
{1,3,5,7,9,10,8,6,4,2} \
end{array}
right)$
answered 19 mins ago
JerryJerry
939112
$endgroup$
add a comment |
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
f[n_Integer] := Join[Range[1, #, 2], Reverse[Range[2, #, 2]]] & /@ Range[2, n];
TeXForm @ MatrixForm @ f[8]
$left(
begin{array}{c}
{1,2} \
{1,3,2} \
{1,3,4,2} \
{1,3,5,4,2} \
{1,3,5,6,4,2} \
{1,3,5,7,6,4,2} \
{1,3,5,7,8,6,4,2} \
end{array}
right)$
answered 18 mins ago
kglrkglr
179k9199410
$endgroup$
add a comment |
$begingroup$
f[n_Integer] := Join[Range[1, #, 2], Reverse[Range[2, #, 2]]] & /@ Range[2, n];
TeXForm @ MatrixForm @ f[8]
$left(
begin{array}{c}
{1,2} \
{1,3,2} \
{1,3,4,2} \
{1,3,5,4,2} \
{1,3,5,6,4,2} \
{1,3,5,7,6,4,2} \
{1,3,5,7,8,6,4,2} \
end{array}
right)$
answered 18 mins ago
kglrkglr
179k9199410
$endgroup$
add a comment |
$begingroup$
f[n_Integer] := Join[Range[1, #, 2], Reverse[Range[2, #, 2]]] & /@ Range[2, n];
TeXForm @ MatrixForm @ f[8]
$left(
begin{array}{c}
{1,2} \
{1,3,2} \
{1,3,4,2} \
{1,3,5,4,2} \
{1,3,5,6,4,2} \
{1,3,5,7,6,4,2} \
{1,3,5,7,8,6,4,2} \
end{array}
right)$
answered 18 mins ago
kglrkglr
179k9199410
$endgroup$
f[n_Integer] := Join[Range[1, #, 2], Reverse[Range[2, #, 2]]] & /@ Range[2, n];
TeXForm @ MatrixForm @ f[8]
$left(
begin{array}{c}
{1,2} \
{1,3,2} \
{1,3,4,2} \
{1,3,5,4,2} \
{1,3,5,6,4,2} \
{1,3,5,7,6,4,2} \
{1,3,5,7,8,6,4,2} \
end{array}
right)$
answered 18 mins ago
kglrkglr
179k9199410
answered 18 mins ago
kglrkglr
179k9199410
answered 18 mins ago
kglrkglr
179k9199410
answered 18 mins ago
kglrkglr
179k9199410
179k9199410
add a comment |
add a comment |
$begingroup$
fGetList[n_]:= (Select[Range[#], OddQ]~Join~Reverse@Select[Range[#], EvenQ]) & /@Range[n] // Rest
fGetList[10]
$
left(
begin{array}{c}
{1,2} \
{1,3,2} \
{1,3,4,2} \
{1,3,5,4,2} \
{1,3,5,6,4,2} \
{1,3,5,7,6,4,2} \
{1,3,5,7,8,6,4,2} \
{1,3,5,7,9,8,6,4,2} \
{1,3,5,7,9,10,8,6,4,2} \
end{array}
right)$
another version
fGetList2[n_?IntegerQ] :=
Flatten@MapAt[Reverse, GatherBy[Range[#], OddQ], 2] & /@ Range[2, n]
fGetList2[10]//TeXForm
$left(
begin{array}{c}
{1,2} \
{1,3,2} \
{1,3,4,2} \
{1,3,5,4,2} \
{1,3,5,6,4,2} \
{1,3,5,7,6,4,2} \
{1,3,5,7,8,6,4,2} \
{1,3,5,7,9,8,6,4,2} \
{1,3,5,7,9,10,8,6,4,2} \
end{array}
right)$
answered 19 mins ago
JerryJerry
939112
$endgroup$
add a comment |
$begingroup$
fGetList[n_]:= (Select[Range[#], OddQ]~Join~Reverse@Select[Range[#], EvenQ]) & /@Range[n] // Rest
fGetList[10]
$
left(
begin{array}{c}
{1,2} \
{1,3,2} \
{1,3,4,2} \
{1,3,5,4,2} \
{1,3,5,6,4,2} \
{1,3,5,7,6,4,2} \
{1,3,5,7,8,6,4,2} \
{1,3,5,7,9,8,6,4,2} \
{1,3,5,7,9,10,8,6,4,2} \
end{array}
right)$
another version
fGetList2[n_?IntegerQ] :=
Flatten@MapAt[Reverse, GatherBy[Range[#], OddQ], 2] & /@ Range[2, n]
fGetList2[10]//TeXForm
$left(
begin{array}{c}
{1,2} \
{1,3,2} \
{1,3,4,2} \
{1,3,5,4,2} \
{1,3,5,6,4,2} \
{1,3,5,7,6,4,2} \
{1,3,5,7,8,6,4,2} \
{1,3,5,7,9,8,6,4,2} \
{1,3,5,7,9,10,8,6,4,2} \
end{array}
right)$
answered 19 mins ago
JerryJerry
939112
$endgroup$
add a comment |
$begingroup$
fGetList[n_]:= (Select[Range[#], OddQ]~Join~Reverse@Select[Range[#], EvenQ]) & /@Range[n] // Rest
fGetList[10]
$
left(
begin{array}{c}
{1,2} \
{1,3,2} \
{1,3,4,2} \
{1,3,5,4,2} \
{1,3,5,6,4,2} \
{1,3,5,7,6,4,2} \
{1,3,5,7,8,6,4,2} \
{1,3,5,7,9,8,6,4,2} \
{1,3,5,7,9,10,8,6,4,2} \
end{array}
right)$
another version
fGetList2[n_?IntegerQ] :=
Flatten@MapAt[Reverse, GatherBy[Range[#], OddQ], 2] & /@ Range[2, n]
fGetList2[10]//TeXForm
$left(
begin{array}{c}
{1,2} \
{1,3,2} \
{1,3,4,2} \
{1,3,5,4,2} \
{1,3,5,6,4,2} \
{1,3,5,7,6,4,2} \
{1,3,5,7,8,6,4,2} \
{1,3,5,7,9,8,6,4,2} \
{1,3,5,7,9,10,8,6,4,2} \
end{array}
right)$
answered 19 mins ago
JerryJerry
939112
$endgroup$
fGetList[n_]:= (Select[Range[#], OddQ]~Join~Reverse@Select[Range[#], EvenQ]) & /@Range[n] // Rest
fGetList[10]
$
left(
begin{array}{c}
{1,2} \
{1,3,2} \
{1,3,4,2} \
{1,3,5,4,2} \
{1,3,5,6,4,2} \
{1,3,5,7,6,4,2} \
{1,3,5,7,8,6,4,2} \
{1,3,5,7,9,8,6,4,2} \
{1,3,5,7,9,10,8,6,4,2} \
end{array}
right)$
another version
fGetList2[n_?IntegerQ] :=
Flatten@MapAt[Reverse, GatherBy[Range[#], OddQ], 2] & /@ Range[2, n]
fGetList2[10]//TeXForm
$left(
begin{array}{c}
{1,2} \
{1,3,2} \
{1,3,4,2} \
{1,3,5,4,2} \
{1,3,5,6,4,2} \
{1,3,5,7,6,4,2} \
{1,3,5,7,8,6,4,2} \
{1,3,5,7,9,8,6,4,2} \
{1,3,5,7,9,10,8,6,4,2} \
end{array}
right)$
answered 19 mins ago
JerryJerry
939112
edited 6 secs ago
answered 19 mins ago
JerryJerry
939112
answered 19 mins ago
JerryJerry
939112
answered 19 mins ago
JerryJerry
939112
939112
add a comment |
add a comment |
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