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 A291583 Expansion of Product_{k>=1} 1/(1 - 2*x^(k^2)). 1
 1, 2, 4, 8, 18, 36, 72, 144, 292, 586, 1172, 2344, 4696, 9396, 18792, 37584, 75186, 150380, 300764, 601528, 1203092, 2406200, 4812408, 9624816, 19249704, 38499446, 76998908, 153997824, 307995792, 615991660, 1231983352, 2463966720, 4927933732, 9855867616 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..33. FORMULA a(n) = c * 2^n, where c = Product_{k>=2} 1/(1 - 2^(1-k^2)) = 1.1473740190706250791012378892728990358979800885299281286906257674366893358222... MATHEMATICA nmax = 30; CoefficientList[Series[Product[1/(1 - 2*x^(k^2)), {k, 1, nmax}], {x, 0, nmax}], x] CROSSREFS Cf. A001156, A070933. Sequence in context: A092507 A347036 A297188 * A218874 A212205 A018096 Adjacent sequences: A291580 A291581 A291582 * A291584 A291585 A291586 KEYWORD nonn AUTHOR Vaclav Kotesovec, Aug 31 2017 STATUS approved

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Last modified September 11 08:42 EDT 2024. Contains 375814 sequences. (Running on oeis4.)