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 A319819 Number of partitions of n into exactly nine positive triangular numbers. 5
 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 3, 5, 5, 6, 5, 6, 6, 8, 8, 7, 9, 10, 11, 11, 11, 12, 13, 15, 14, 16, 17, 17, 19, 20, 19, 23, 23, 24, 25, 27, 27, 28, 33, 30, 33, 34, 34, 41, 39, 41, 41, 46, 44, 49, 50, 49, 54, 59, 56, 58, 63, 63, 68, 70, 67 (list; graph; refs; listen; history; text; internal format)
 OFFSET 9,10 LINKS Alois P. Heinz, Table of n, a(n) for n = 9..10000 FORMULA a(n) = [x^n y^9] 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), 9): seq(a(n), n=9..120); CROSSREFS Column k=9 of A319797. Cf. A000217. Sequence in context: A319817 A233566 A319818 * A319820 A319799 A294078 Adjacent sequences: A319816 A319817 A319818 * A319820 A319821 A319822 KEYWORD nonn AUTHOR Alois P. Heinz, Sep 28 2018 STATUS approved

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Last modified December 9 06:55 EST 2023. Contains 367685 sequences. (Running on oeis4.)