A275845 Permutation of natural numbers: a(0) = 0, a(A153880(n)) = A255411(n), a(A273670(n)) = A256450(a(n)).

0, 1, 4, 2, 6, 3, 12, 8, 16, 5, 15, 10, 18, 21, 22, 7, 20, 13, 24, 27, 28, 9, 26, 17, 48, 30, 52, 33, 34, 11, 60, 32, 64, 23, 56, 36, 66, 61, 70, 39, 40, 14, 73, 38, 78, 29, 67, 42, 72, 80, 76, 74, 85, 45, 84, 46, 88, 19, 89, 44, 90, 97, 94, 35, 81, 49, 87, 99, 93, 91, 105, 53, 96, 104, 100, 54, 109, 25, 108, 110, 112, 51, 111, 121, 114, 117, 118, 41

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(A225901(n)) = 0 [when n is one of the terms of A153880] then a(n) = A255411(A266193(n)), otherwise [when n is one of the terms of A273670], a(n) = A256450(a(A273663(n))).

Other identities:

a(A000142(n)) = A052849(n) for all n >= 2.

Prog

(Scheme, with memoization-macro definec)
(definec (A275845 n) (cond ((zero? n) n) ((zero? (A257680 (A225901 n))) (A255411 (A266193 n))) (else (A256450 (A275845 (A273663 n))))))

Crossrefs

Inverse: A275846.

Cf. A000142, A052849, A153880, A225901, A255411, A256450, A257680, A266193, A273663, A273670.

Similar permutations: A273667 (a more recursed variant), A275847, A275848.

Sequence in context: A097467 A169839 A308712 * A281978 A325887 A209877

Adjacent sequences: A275842 A275843 A275844 * A275846 A275847 A275848

Keyword

nonn,base

Author

Antti Karttunen, Aug 13 2016

Status

approved