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A300547 a(n) = [x^n] Product_{d|n} (1 - x^d). 3
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.

Sequence in context: A123706 A322817 A194325 * A025452 A299202 A194337

Adjacent sequences:  A300544 A300545 A300546 * A300548 A300549 A300550

KEYWORD

sign,look

AUTHOR

Ilya Gutkovskiy, Mar 08 2018

STATUS

approved

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Last modified September 21 16:31 EDT 2021. Contains 347598 sequences. (Running on oeis4.)