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A309986 Convolution of A270913 and A008485. 4
1, 2, 9, 43, 206, 999, 4915, 24372, 121698, 611244, 3085612, 15645347, 79639602, 406809249, 2084567381, 10712007629, 55187254157, 284981396231, 1474729519719, 7646180479889, 39713643612380, 206600871071930, 1076372569004514, 5615363541987786, 29331204404385053 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..1000

FORMULA

a(n) ~ c * d^n / sqrt(n), where d = A270915 = 5.352701333486642687... and c = 0.446705640528056029457240607298917821281915554...

MATHEMATICA

A270913[n_] := SeriesCoefficient[Product[(1 + x^k)^n, {k, 1, n}], {x, 0, n}];

A008485[n_] := SeriesCoefficient[Product[1/(1 - x^k)^n, {k, 1, n}], {x, 0, n}];

Table[Sum[A008485[k]*A270913[n-k], {k, 0, n}], {n, 0, 20}]

CROSSREFS

Cf. A008485, A270913, A270919, A327214, A327215.

Sequence in context: A018960 A217666 A002310 * A055728 A006795 A055824

Adjacent sequences:  A309983 A309984 A309985 * A309987 A309988 A309989

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Aug 26 2019

STATUS

approved

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Last modified April 20 20:26 EDT 2021. Contains 343137 sequences. (Running on oeis4.)