A275846 Permutation of natural numbers: a(0) = 0, a(A255411(n)) = A153880(n), a(A256450(n)) = A273670(a(n)).

0, 1, 3, 5, 2, 9, 4, 15, 7, 21, 11, 29, 6, 17, 41, 10, 8, 23, 12, 57, 16, 13, 14, 33, 18, 77, 22, 19, 20, 45, 25, 101, 31, 27, 28, 63, 35, 129, 43, 39, 40, 87, 47, 165, 59, 53, 55, 111, 24, 65, 213, 81, 26, 71, 75, 141, 34, 89, 269, 105, 30, 37, 95, 99, 32, 183, 36, 46, 113, 341, 38, 135, 48, 42, 51, 119, 50, 125, 44, 231, 49, 64, 143, 431, 54, 52

Offset

0,3

Links

Antti Karttunen, Table of n, a(n) for n = 0..5039

Index entries for sequences related to factorial base representation

Index entries for sequences that are permutations of the natural numbers

Formula

a(0) = 0; for n >= 1: if A257680(n) = 0 [when n is one of the terms of A255411] then a(n) = A153880(A257684(n)), otherwise [when n is one of the terms of A256450], a(n) = A273670(a(A273662(n))).

Prog

(Scheme, with memoization-macro definec)
(definec (A275846 n) (cond ((zero? n) n) ((zero? (A257680 n)) (A153880 (A257684 n))) (else (A273670 (A275846 (A273662 n))))))

Crossrefs

Inverse: A275845.

Cf. A153880, A255411, A256450, A257680, A257684, A273662, A273670.

Similar permutations: A273668 (a more recursed variant), A275847, A275848.

Sequence in context: A327263 A186412 A322982 * A273668 A356472 A245653

Adjacent sequences: A275843 A275844 A275845 * A275847 A275848 A275849

Keyword

nonn,base

Author

Antti Karttunen, Aug 13 2016

Status

approved