A275848 Permutation of natural numbers: a(0) = 0, a(A255411(n)) = A153880(a(n)), a(A256450(n)) = A273670(n).

0, 1, 3, 4, 2, 5, 7, 9, 10, 11, 13, 15, 8, 16, 17, 18, 12, 19, 6, 20, 21, 22, 14, 23, 25, 27, 28, 29, 31, 33, 34, 35, 37, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 51, 52, 53, 55, 57, 26, 58, 59, 61, 32, 63, 64, 65, 66, 67, 68, 69, 36, 70, 71, 73, 38, 75, 50, 76, 77, 79, 56, 81, 30, 82, 83, 85, 60, 87, 88, 89, 90, 91, 92, 93, 62, 94, 95, 96, 72, 97, 48

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(a(A257684(n))), otherwise [when n is one of the terms of A256450], a(n) = A273670(A273662(n)).

Prog

(Scheme, with memoization-macro definec)
(definec (A275848 n) (cond ((zero? n) n) ((zero? (A257680 n)) (A153880 (A275848 (A257684 n)))) (else (A273670 (A273662 n)))))

Crossrefs

Inverse: A275847.

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

Similar permutations: A273668 (a more recursed variant), A275845, A275846.

Sequence in context: A297969 A127296 A276958 * A367651 A214929 A205152

Adjacent sequences: A275845 A275846 A275847 * A275849 A275850 A275851

Keyword

nonn,base

Author

Antti Karttunen, Aug 13 2016

Status

approved