A263327 A permutation of {0, 1, ..., 1023} corresponding to lexicographical ordering A262557 of numbers with decreasing digits A009995.

0, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 3, 5, 6, 9, 10, 12, 17, 18, 20, 24, 33, 34, 36, 40, 48, 65, 66, 68, 72, 80, 96, 129, 130, 132, 136, 144, 160, 192, 257, 258, 260, 264, 272, 288, 320, 384, 513, 514, 516, 520, 528, 544, 576, 640, 768, 7, 11, 13, 14

Offset

0,3

Comments

For n = 1..1023, A262557(a(n)) = A009995(n).

Cycle type = (1^12, 3^2, 10^2, 74, 912), i.e., this permutation has 12 fixed points, two 3-cycles and two 10-cycles, and two more cycles of length 74 and 912. See A263355 for the list of these cycles, A263383 for the length of the n-th cycle (ordered by increasing largest element).

Links

Reinhard Zumkeller, Table of n, a(n) for n = 0..1023

Prog

(Haskell)
a263327 0 = 0
a263327 n = head [x | x <- [1..1023], a262557 x == a009995' n]
(PARI) A263327=vecsort(A262557, , 1) \\ Does not include a(0)=0. - M. F. Hasler, Dec 11 2019

Crossrefs

Cf. A009995, A262557, A263328 (inverse), A263329 (fixed points), A263383, A263355 (cycles).

Sequence in context: A061509 A189398 A086066 * A085941 A054842 A290389

Adjacent sequences: A263324 A263325 A263326 * A263328 A263329 A263330

Keyword

nonn,fini,full

Author

Reinhard Zumkeller, Oct 15 2015

Extensions

Edited by M. F. Hasler, Dec 11 2019

Status

approved