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A323633 Expansion of 1/Sum_{k>=0} x^(k^3). 0
1, -1, 1, -1, 1, -1, 1, -1, 0, 1, -2, 3, -4, 5, -6, 7, -7, 6, -4, 1, 3, -8, 14, -21, 28, -34, 38, -40, 38, -31, 18, 2, -29, 62, -99, 139, -178, 211, -232, 234, -210, 154, -62, -70, 242, -449, 680, -917, 1135, -1303, 1386, -1344, 1136, -725, 85, 794, -1898, 3183, -4571 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,11

COMMENTS

Convolution inverse of A010057.

LINKS

Table of n, a(n) for n=0..58.

MAPLE

a:=series(1/add(x^(k^3), k=0..100), x=0, 59): seq(coeff(a, x, n), n=0..58); # Paolo P. Lava, Apr 02 2019

MATHEMATICA

nmax = 58; CoefficientList[Series[1/Sum[x^k^3, {k, 0, nmax}], {x, 0, nmax}], x]

a[0] = 1; a[n_] := a[n] = -Sum[Boole[IntegerQ[k^(1/3)]] a[n - k], {k, 1, n}]; Table[a[n], {n, 0, 58}]

CROSSREFS

Cf. A010057, A023358, A317665.

Sequence in context: A117656 A101918 A291169 * A291567 A132125 A102672

Adjacent sequences:  A323630 A323631 A323632 * A323634 A323635 A323636

KEYWORD

sign

AUTHOR

Ilya Gutkovskiy, Jan 21 2019

STATUS

approved

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Last modified July 15 16:09 EDT 2019. Contains 325049 sequences. (Running on oeis4.)