A273667 Permutation of nonnegative integers: a(0) = 0, a(A153880(n)) = A255411(a(n)), a(A273670(n)) = A256450(a(n)).

0, 1, 4, 2, 6, 3, 18, 8, 12, 5, 24, 10, 48, 15, 16, 7, 30, 13, 56, 20, 21, 9, 36, 17, 96, 67, 60, 26, 27, 11, 72, 42, 22, 23, 120, 81, 240, 73, 66, 32, 33, 14, 87, 49, 28, 29, 144, 101, 360, 270, 88, 89, 80, 38, 90, 39, 52, 19, 107, 57, 288, 34, 76, 35, 168, 125, 416, 303, 109, 110, 99, 44, 420, 111, 108, 45, 61, 25, 112, 131, 64, 68, 327, 40

Offset

0,3

Links

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

Indranil Ghosh, Python program for computing this sequence

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

As a composition of other permutations:

a(n) = A255566(A273665(n)).

Prog

(Scheme, with memoization-macro definec)
(definec (A273667 n) (cond ((zero? n) n) ((zero? (A257680 (A225901 n))) (A255411 (A273667 (A266193 n)))) (else (A256450 (A273667 (A273663 n))))))

Crossrefs

Inverse: A273668.

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

Similar or related permutations: A255566, A273665.

Sequence in context: A281978 A325887 A209877 * A187109 A242599 A092205

Adjacent sequences: A273664 A273665 A273666 * A273668 A273669 A273670

Keyword

nonn,base

Author

Antti Karttunen, May 30 2016

Status

approved