A318476 Multiplicative with a(p^e) = 2^A000108(e).

1, 2, 2, 4, 2, 4, 2, 32, 4, 4, 2, 8, 2, 4, 4, 16384, 2, 8, 2, 8, 4, 4, 2, 64, 4, 4, 32, 8, 2, 8, 2, 4398046511104, 4, 4, 4, 16, 2, 4, 4, 64, 2, 8, 2, 8, 8, 4, 2, 32768, 4, 8, 4, 8, 2, 64, 4, 64, 4, 4, 2, 16, 2, 4, 8, 5444517870735015415413993718908291383296, 4, 8, 2, 8, 4, 8, 2, 128, 2, 4, 8, 8, 4, 8, 2, 32768, 16384, 4, 2, 16, 4, 4, 4, 64, 2, 16, 4, 8, 4, 4, 4

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..511

Index entries for sequences computed from exponents in factorization of n

Formula

a(n) = 2^A318475(n).

Prog

(PARI)
A000108(n) = (binomial(2*n, n)/(n+1));
A318476(n) = factorback(apply(e -> 2^A000108(e), factor(n)[, 2]));

Crossrefs

Cf. A000108, A318475.

Cf. also A069739.

Sequence in context: A366196 A278525 A357531 * A226083 A364918 A182730

Adjacent sequences: A318473 A318474 A318475 * A318477 A318478 A318479

Keyword

nonn,mult

Author

Antti Karttunen, Aug 29 2018

Status

approved