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Search: id:A156616
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| A156616 |
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G.f.: product_{n>0} ((1+x^n)/(1-x^n))^n. |
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+0
1
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| 1, 2, 6, 16, 38, 88, 196, 420, 878, 1794, 3584, 7032, 13572, 25792, 48352, 89512, 163774, 296444, 531234, 943072, 1659560, 2896376, 5015700, 8622108, 14718652, 24960138, 42062200, 70458160, 117349856, 194381704, 320295312, 525123604
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Generating function for a sum over strict plane partitions weighted with 2 powered to their number of connected components.
The inverse Euler transform is apparently 2, 3, 6, 6, 10, 9, 14, 12, 18, 15, 22, 18, 26, 21..., A016825 interlaced with A008585. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 23 2009]
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LINKS
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Mirjana Vuletic, A generalization of MacMahon's formula, Trans. Am. Math. Soc. 361 (2009) 2789-2804.
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FORMULA
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Convolve A000219 with A026007.
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CROSSREFS
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Sequence in context: A074082 A097813 A093041 this_sequence A046209 A078774 A129952
Adjacent sequences: A156613 A156614 A156615 this_sequence A156617 A156618 A156619
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KEYWORD
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easy,nonn
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AUTHOR
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R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 11 2009
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