A366263 Doudna sequence permuted by Blue code: a(n) = A005940(1+A193231(n)).

1, 2, 4, 3, 6, 5, 9, 8, 16, 27, 25, 18, 15, 12, 10, 7, 14, 11, 21, 20, 35, 30, 24, 45, 81, 32, 54, 125, 36, 75, 49, 50, 100, 147, 121, 98, 225, 72, 150, 245, 625, 162, 64, 243, 250, 343, 375, 108, 33, 28, 22, 13, 40, 63, 55, 42, 90, 175, 135, 48, 77, 70, 60, 105, 210, 385, 315, 120, 143, 154, 140, 231, 525, 180

Offset

0,2

Links

Antti Karttunen, Table of n, a(n) for n = 0..16383

Index entries for sequences related to binary expansion of n

Index entries for sequences that are permutations of the natural numbers

Formula

a(n) = A332450(A005940(1+n)).

For all n >= 0, A001222(a(n)) = A234022(n) and A046523(a(n)) = A286601(n).

For all n >= 1, A055396(a(n)) = A277818(n) = 1+A268389(n).

Prog

(PARI)
A005940(n) = { my(p=2, t=1); n--; until(!n\=2, if((n%2), (t*=p), p=nextprime(p+1))); t };
A193231(n) = { my(x='x); subst(lift(Mod(1, 2)*subst(Pol(binary(n), x), x, 1+x)), x, 2) };
A366263(n) = A005940(1+A193231(n));

Crossrefs

Cf. A005940, A193231, A234022, A268389, A277818, A286601, A286602, A332450, A366264 (inverse map).

Cf. also A365810, A366260, A366275.

Sequence in context: A113321 A271647 A232643 * A231334 A253609 A300002

Adjacent sequences: A366260 A366261 A366262 * A366264 A366265 A366266

Keyword

nonn,look

Author

Antti Karttunen, Oct 06 2023

Status

approved