A307266 Row 8 of array in A059897.

8, 4, 24, 2, 40, 12, 56, 1, 72, 20, 88, 6, 104, 28, 120, 128, 136, 36, 152, 10, 168, 44, 184, 3, 200, 52, 216, 14, 232, 60, 248, 64, 264, 68, 280, 18, 296, 76, 312, 5, 328, 84, 344, 22, 360, 92, 376, 384, 392, 100, 408, 26, 424, 108, 440, 7, 456, 116, 472, 30, 488, 124, 504, 32

Offset

1,1

Comments

Also column 8 of A059897.

A self-inverse permutation of the positive integers with no fixed points; A073675 composed with A120230.

The permutation swaps pairs of integers whose ratio is 1:8 or 1:2, these ratios corresponding to the factorizations 1*8 = 2*4 = 8.

Links

Peter Munn, Table of n, a(n) for n = 1..5120

Index entries for sequences that are permutations of the natural numbers

Formula

a(n) = A059897(8,n) = A059897(n,8).

a(n) = A073675(A120230(n)) = A120230(A073675(n)) = A073675(n) * A120230(n) / n.

Prog

(PARI) T(n, k) = {if (n==1, return (k)); if (k==1, return (n)); my(fn=factor(n), fk=factor(k)); vp = setunion(fn[, 1]~, fk[, 1]~); prod(i=1, #vp, vp[i]^(bitxor(valuation(n, vp[i]), valuation(k, vp[i])))); }
a(n) = T(n, 8); \\ Michel Marcus, Apr 23 2019

Crossrefs

Cf. A059897, A073675, A120230, A307267.

Sequence in context: A248293 A151726 A070290 * A173855 A143368 A160415

Adjacent sequences: A307263 A307264 A307265 * A307267 A307268 A307269

Keyword

nonn

Author

Peter Munn, Apr 01 2019

Status

approved