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 A319817 Number of partitions of n into exactly seven positive triangular numbers. 5
 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 3, 3, 3, 4, 4, 6, 4, 5, 5, 7, 6, 6, 8, 7, 10, 8, 8, 10, 10, 11, 11, 12, 11, 14, 14, 13, 14, 16, 15, 17, 18, 17, 20, 19, 20, 21, 22, 21, 22, 27, 23, 28, 26, 26, 29, 31, 27, 31, 34, 34, 35, 34, 34, 37, 42, 37, 39, 42 (list; graph; refs; listen; history; text; internal format)
 OFFSET 7,10 LINKS Alois P. Heinz, Table of n, a(n) for n = 7..10000 FORMULA a(n) = [x^n y^7] 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), 7): seq(a(n), n=7..120); CROSSREFS Column k=7 of A319797. Cf. A000217. Sequence in context: A260123 A319411 A164296 * A233566 A319818 A319819 Adjacent sequences: A319814 A319815 A319816 * A319818 A319819 A319820 KEYWORD nonn AUTHOR Alois P. Heinz, Sep 28 2018 STATUS approved

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Last modified October 2 23:30 EDT 2023. Contains 365841 sequences. (Running on oeis4.)