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

Author

Antti Karttunen, Aug 29 2018

Keywords

• nonn
• mult

Links

• Antti Karttunen, Table of n, a(n) for n = 1..511
• Index entries for sequences computed from exponents in factorization of n

Crossrefs

Cf. A000108, A318475.

Cf. also A069739.

Programs

PARI

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

Formula

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