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 A305842 Product_{n>=1} (1 + x^n)^a(n) = g.f. of A000293 (solid partitions). 0
 1, 4, 6, 14, 15, 26, 26, 48, 46, 83, 97, 146, 112, 49, -186, -448, -735, -485, 779, 3977, 9323, 16569, 23056, 23996, 10116, -31501, -120720, -283153, -548924, -932348, -1380125, -1655520, -1144651, 1384894, 7943203, 21083482, 42787785, 71816970, 98995196 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Inverse weigh transform of A000293. LINKS N. J. A. Sloane, Transforms Eric Weisstein's World of Mathematics, Solid Partition FORMULA Product_{n>=1} (1 + x^n)^a(n) = Sum_{k>=0} A000293(k)*x^k. EXAMPLE (1 + x) * (1 + x^2)^4 * (1 + x^3)^6 * (1 + x^4)^14 * (1 + x^5)^15 * ... * (1 + x^n)^a(n) * ... = 1 + x + 4*x^2 + 10*x^3 + 26*x^4 + 59*x^5 + ... + A000293(k)*x^k + ... CROSSREFS Cf. A000293, A001511, A037452, A193718, A305841. Sequence in context: A310615 A310616 A310617 * A094298 A089226 A102029 Adjacent sequences:  A305839 A305840 A305841 * A305843 A305844 A305845 KEYWORD sign AUTHOR Ilya Gutkovskiy, Jun 11 2018 STATUS approved

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Last modified February 17 23:35 EST 2020. Contains 332006 sequences. (Running on oeis4.)