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 A319820 Number of partitions of n into exactly ten positive triangular numbers. 5
 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 3, 5, 5, 7, 5, 6, 7, 8, 8, 8, 10, 10, 12, 12, 11, 14, 14, 16, 16, 17, 18, 20, 21, 21, 23, 25, 24, 29, 29, 29, 32, 33, 35, 36, 39, 38, 41, 47, 44, 50, 48, 52, 55, 58, 55, 62, 66, 66, 70, 71, 72, 78, 84, 82, 84 (list; graph; refs; listen; history; text; internal format)
 OFFSET 10,10 LINKS Alois P. Heinz, Table of n, a(n) for n = 10..10000 FORMULA a(n) = [x^n y^10] 1/Product_{j>=1} (1-y*x^A000217(j)). MAPLE h:= proc(n) option remember; `if`(n<1, 0, `if`(issqr(8*n+1), n, h(n-1))) end: b:= proc(n, i, k) option remember; `if`(n=0, `if`(k=0, 1, 0), `if`( k>n or i*k b(n, h(n), 10): seq(a(n), n=10..120); CROSSREFS Column k=10 of A319797. Cf. A000217. Sequence in context: A233566 A319818 A319819 * A319799 A294078 A064133 Adjacent sequences: A319817 A319818 A319819 * A319821 A319822 A319823 KEYWORD nonn AUTHOR Alois P. Heinz, Sep 28 2018 STATUS approved

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Last modified December 9 07:37 EST 2023. Contains 367689 sequences. (Running on oeis4.)