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A191660 Second differences of A000219. 3
2, 1, 4, 4, 13, 14, 36, 48, 96, 141, 261, 386, 676, 1030, 1706, 2619, 4230, 6462, 10219, 15568, 24165, 36627, 56103, 84428, 127873, 191201, 286663, 425802, 632973, 933995, 1377774, 2020424, 2959438, 4314109, 6278824, 9100908, 13167388, 18983295, 27313916, 39177636, 56080228, 80048942, 114030110, 162018938, 229741517, 325000341, 458854803, 646409612 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
REFERENCES
G. Almkvist, The differences of the number of plane partitions, Manuscript, circa 1991.
LINKS
FORMULA
a(n) ~ 2^(13/36) * Zeta(3)^(31/36) * exp(1/12 + 3*Zeta(3)^(1/3)*n^(2/3)/2^(2/3)) / (A * sqrt(3*Pi) * n^(49/36)), where Zeta(3) = A002117 and A = A074962 is the Glaisher-Kinkelin constant. - Vaclav Kotesovec, Oct 30 2016
MATHEMATICA
Differences[CoefficientList[Series[Product[(1-x^k)^-k, {k, 1, 64}], {x, 0, 64}], x], 2] (* Harvey P. Dale, Jun 19 2011 *)
nmax = 50; Drop[CoefficientList[Series[(1-x)^2 * Product[1/(1-x^k)^k, {k, 1, nmax}], {x, 0, nmax}], x], 2] (* Vaclav Kotesovec, Oct 30 2016 *)
CROSSREFS
Sequence in context: A212716 A057772 A145861 * A129874 A021983 A349994
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jun 10 2011
STATUS
approved

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Last modified June 22 11:27 EDT 2024. Contains 373570 sequences. (Running on oeis4.)