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 A344446 Number of partitions of n into 3 semiprimes. 2
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 3, 2, 3, 2, 2, 3, 3, 4, 4, 2, 3, 5, 7, 5, 4, 4, 5, 6, 7, 7, 6, 6, 7, 10, 10, 7, 7, 9, 10, 11, 11, 13, 13, 8, 12, 14, 14, 13, 9, 13, 14, 16, 17, 19, 15, 15, 15, 22, 23, 15, 14, 19, 23, 23, 22, 24 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,19 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..20000 FORMULA a(n) = [x^n y^3] 1/Product_{j>=1} (1-y*x^A001358(j)). MAPLE h:= proc(n) option remember; `if`(n=0, 0,      `if`(numtheory[bigomega](n)=2, n, h(n-1)))     end: b:= proc(n, i) option remember; series(`if`(n=0, 1, `if`(i<1, 0,      `if`(i>n, 0, x*b(n-i, h(min(n-i, i))))+b(n, h(i-1)))), x, 4)     end: a:= n-> coeff(b(n, h(n)), x, 3): seq(a(n), n=0..80); CROSSREFS Column k=3 of A344447. Cf. A001358. Sequence in context: A120221 A300655 A290601 * A094899 A057774 A089355 Adjacent sequences:  A344443 A344444 A344445 * A344447 A344448 A344449 KEYWORD nonn,look AUTHOR Alois P. Heinz, May 19 2021 STATUS approved

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Last modified July 27 15:49 EDT 2021. Contains 346308 sequences. (Running on oeis4.)