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 A320235 G.f.: Product_{k>=1, j>=1} (1 + x^(k*j))^2. 4
 1, 2, 5, 12, 24, 48, 94, 172, 310, 550, 946, 1602, 2679, 4394, 7123, 11424, 18082, 28344, 44039, 67754, 103412, 156660, 235489, 351602, 521650, 768998, 1127100, 1642946, 2381929, 3436028, 4932998, 7049004, 10028422, 14207122, 20044327, 28169528, 39439899 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Self-convolution of A107742. LINKS Vaclav Kotesovec, Table of n, a(n) for n = 0..10000 FORMULA Conjecture: log(a(n)) ~ Pi*sqrt(n*log(n)/3). MATHEMATICA nmax = 50; CoefficientList[Series[Product[(1+x^(k*j))^2, {k, 1, nmax}, {j, 1, Floor[nmax/k] + 1}], {x, 0, nmax}], x] CROSSREFS Cf. A107742, A280451, A320236. Sequence in context: A261369 A116714 A023615 * A034483 A267004 A322779 Adjacent sequences: A320232 A320233 A320234 * A320236 A320237 A320238 KEYWORD nonn AUTHOR Vaclav Kotesovec, Oct 08 2018 STATUS approved

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Last modified May 25 03:39 EDT 2024. Contains 372782 sequences. (Running on oeis4.)