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A341796 Number of ways to write n as an ordered sum of 5 nonzero tetrahedral numbers. 7
1, 0, 0, 5, 0, 0, 10, 0, 0, 15, 0, 0, 25, 0, 0, 31, 0, 0, 30, 5, 0, 35, 20, 0, 30, 30, 0, 20, 40, 0, 20, 65, 0, 10, 65, 0, 5, 70, 10, 5, 90, 30, 0, 70, 30, 1, 85, 40, 0, 80, 60, 0, 50, 50, 0, 70, 90, 10, 50, 90, 20, 50, 80, 10, 60, 130, 20, 65, 70, 20, 65, 90, 30, 50, 110, 70, 65, 100 (list; graph; refs; listen; history; text; internal format)
OFFSET

5,4

LINKS

Table of n, a(n) for n=5..82.

FORMULA

G.f.: ( Sum_{k>=1} x^binomial(k+2,3) )^5.

MATHEMATICA

nmax = 82; CoefficientList[Series[Sum[x^Binomial[k + 2, 3], {k, 1, nmax}]^5, {x, 0, nmax}], x] // Drop[#, 5] &

CROSSREFS

Cf. A000292, A023533, A023670, A282172, A282582, A340950, A341776, A341794, A341795, A341797.

Sequence in context: A256929 A068459 A099222 * A340481 A236232 A019178

Adjacent sequences:  A341793 A341794 A341795 * A341797 A341798 A341799

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Feb 19 2021

STATUS

approved

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Last modified January 20 10:18 EST 2022. Contains 350471 sequences. (Running on oeis4.)