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URL: https://oeis.org/A279278

⇱ A279278 - OEIS


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A279278
Expansion of Product_{k>=1} (1 + x^(k*(k+1)*(k+2)/6)).
7
1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2
OFFSET
0,36
COMMENTS
Number of partitions of n into distinct tetrahedral numbers (A000292).
FORMULA
G.f.: Product_{k>=1} (1 + x^(k*(k+1)*(k+2)/6)).
EXAMPLE
a(35) = 2 because we have [35] and [20, 10, 4, 1].
MATHEMATICA
nmax=120; CoefficientList[Series[Product[1 + x^(k (k + 1) (k + 2)/6), {k, 1, nmax}], {x, 0, nmax}], x]
CROSSREFS
Cf. A000292, A007294, A024940, A068980, A350205 (positions of records).
Sequence in context: A363339 A334195 A348446 * A015964 A088950 A267113
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Dec 09 2016
STATUS
approved