A321619 Expansion of Product_{k>0} (1 - d(k)*x^k), where d(k) is the number of divisors of k.

1, -1, -2, 0, -1, 5, 0, 6, 0, -5, 9, -14, -18, -13, 31, -26, -3, -5, 34, 18, 21, 117, -36, -10, -64, 52, -140, 276, -142, -232, -456, -16, 56, 330, -421, -119, 1055, -679, 499, 49, 1601, -712, 1199, -932, 3488, -4640, 1186, 182, -700, 2116, -1281, -5305, 1983, 1432

Offset

0,3

Comments

This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = -1, g(n) = A000005(n).

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Prog

(PARI) N=99; x='x+O('x^N); Vec(prod(k=1, N, 1-numdiv(k)*x^k))

Crossrefs

Convolution inverse of A279784.

Cf. A000005, A279786, A288098.

Sequence in context: A134433 A125183 A092583 * A285212 A262948 A193471

Adjacent sequences: A321616 A321617 A321618 * A321620 A321621 A321622

Keyword

sign

Author

Seiichi Manyama, Nov 15 2018

Status

approved