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A374409
Number of ways to write n as an ordered sum of a triangular number, a pentagonal number and a hexagonal number.
2
1, 3, 3, 2, 2, 2, 4, 5, 3, 2, 2, 4, 5, 3, 2, 4, 7, 4, 3, 3, 2, 7, 6, 5, 2, 2, 5, 4, 8, 6, 5, 3, 3, 6, 6, 4, 5, 7, 6, 5, 3, 6, 5, 8, 4, 3, 7, 5, 5, 4, 8, 11, 6, 4, 3, 5, 12, 7, 6, 1, 8, 7, 3, 6, 4, 6, 7, 12, 6, 5, 4, 9, 11, 11, 4, 1, 5, 8, 11, 7, 6, 9, 8, 4, 6, 7, 10, 3, 8, 4, 4, 10, 8, 9, 9, 11, 7, 7, 8, 10, 4
OFFSET
0,2
LINKS
FORMULA
G.f.: (Sum_{k>=0} x^(k*(k+1)/2)) * (Sum_{k>=0} x^(k*(3*k-1)/2)) * (Sum_{k>=0} x^(k*(2*k-1))).
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jul 08 2024
STATUS
approved