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A299211 Expansion of 1/(1 - x*Product_{k>=1} (1 - x^k)^k). 6
1, 1, 0, -3, -6, -4, 12, 39, 52, -9, -186, -392, -285, 610, 2291, 3200, -150, -10626, -23487, -18841, 32957, 134848, 198246, 13961, -605248, -1409604, -1234474, 1744213, 7898753, 12209679, 2161666, -34344627, -84393284, -79993042, 90692470, 461463974, 749309529, 207447895, -1939084232 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
N. J. A. Sloane, Transforms
FORMULA
G.f.: 1/(1 - x*Product_{k>=1} (1 - x^k)^k).
a(0) = 1; a(n) = Sum_{k=1..n} A073592(k-1)*a(n-k).
MAPLE
N:= 100: # for a(0)..a(N)
S:= series(1/(1-x*mul((1-x^k)^k, k=1..N)), x, N+1):
seq(coeff(S, x, i), i=0..N); # Robert Israel, Feb 05 2023
MATHEMATICA
nmax = 38; CoefficientList[Series[1/(1 - x Product[(1 - x^k)^k, {k, 1, nmax}]), {x, 0, nmax}], x]
CROSSREFS
Antidiagonal sums of A276554.
Sequence in context: A328637 A162523 A292681 * A067979 A091808 A357235
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, Feb 05 2018
STATUS
approved

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Last modified July 12 17:45 EDT 2024. Contains 374251 sequences. (Running on oeis4.)