A300547 - OEIS

A300547

a(n) = [x^n] Product_{d|n} (1 - x^d).

1, -1, -1, -1, -1, -1, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, -1, -1, 0, -1, -1, -1, -2, -1, -2, -1, -1, -1, -1, -1, -2, -1, -1, -1, 0, -1, -1, -1, -1, -1, -1, -1, -3, -1, -1, -1, -1, -1, -2, -1, -1, -1, -1, -1, -5, -1, -1, -1, -1, -1, -3, -1, -1, -1, -1, -1, 0, -1, -1, -1, -1, -1, -2, -1, 1, -1, -1, -1, -2, -1

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,7

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..65537

Index entries for sequences related to partitions

MATHEMATICA

Table[SeriesCoefficient[Product[(1 - Boole[Mod[n, k] == 0] x^k), {k, 1, n}], {x, 0, n}], {n, 0, 85}]

PROG

(PARI) A300547(n) = { if(!n, return(1)); my(p=1); fordiv(n, d, p *= (1 - 'x^d)); polcoeff(p, n); }; \\ Antti Karttunen, Sep 25 2018

CROSSREFS

Cf. A010815, A018818, A033630, A293814, A300548, A300549.