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 A046768 Number of partitions of n with equal number of parts congruent to each of 0, 2 and 3 (mod 4). 2
 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 5, 5, 5, 9, 11, 12, 12, 19, 26, 28, 29, 40, 55, 62, 64, 81, 113, 132, 139, 163, 221, 265, 284, 320, 421, 514, 563, 619, 783, 965, 1074, 1169, 1432, 1765, 1996, 2167, 2575, 3159, 3613, 3931, 4566, 5552, 6410, 7006, 7990, 9605 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 LINKS Andrew Howroyd, Table of n, a(n) for n = 0..1000 FORMULA G.f.: (Sum_{k>=0} x^(9*k)/(Product_{j=1..k} 1 - x^(4*j))^3)/(Product_{j>=0} 1 - x^(4*j+1)). - Andrew Howroyd, Sep 16 2019 PROG (PARI) seq(n)={Vec(sum(k=0, n\9, x^(9*k)/prod(j=1, k, 1 - x^(4*j) + O(x*x^n))^3)/prod(j=0, n\4, 1 - x^(4*j+1) + O(x*x^n)))} \\ Andrew Howroyd, Sep 16 2019 CROSSREFS Cf. A046765. Sequence in context: A131799 A078635 A286305 * A274151 A216393 A045812 Adjacent sequences:  A046765 A046766 A046767 * A046769 A046770 A046771 KEYWORD nonn AUTHOR STATUS approved

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Last modified September 18 20:19 EDT 2020. Contains 337173 sequences. (Running on oeis4.)