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A143229 a(n) = A000041(n) * A000070(n). 2
1, 2, 8, 21, 60, 133, 330, 675, 1474, 2910, 5838, 10920, 20944, 37673, 68580, 120384, 211365, 359964, 614845, 1022630, 1701678, 2776752, 4517016, 7232565, 11557350, 18201568, 28579152, 44373420, 68634280, 105109125, 160436916, 242692582, 365853180, 547346709 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
a(n) = A000041(n) * A000070(n), where A000041 = the number of partitions of n and A000070 = partial sums of A000041. Equals row sums of triangle A143228.
a(n) ~ exp(2*sqrt(2*n/3)*Pi)/(8*sqrt(6)*Pi*n^(3/2)) * (1 + (5*Pi/(12*sqrt(6)) - sqrt(3/2)/Pi)/sqrt(n) + (13*Pi^2/1728 - 19/48)/n). - Vaclav Kotesovec, Nov 04 2016
EXAMPLE
a(4) = 60 = A000041(4) * A000070(4) = 5 *12.
a(4) = 60 = sum of row 4 terms of row 4 in triangle A143228: (5 + 5 + 10 + 15 + 25).
CROSSREFS
Sequence in context: A216893 A264245 A123044 * A123285 A143212 A316270
KEYWORD
nonn
AUTHOR
Gary W. Adamson, Jul 31 2008
EXTENSIONS
More terms from Vaclav Kotesovec, Nov 04 2016
STATUS
approved

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Last modified June 22 08:18 EDT 2024. Contains 373567 sequences. (Running on oeis4.)