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A005986 Number of column-strict plane partitions of n.
(Formerly M1393)
+0
1
1, 2, 5, 11, 23, 45, 87, 160, 290, 512, 889, 1514, 2547, 4218, 6909, 11184, 17926, 28449, 44772, 69862, 108205, 166371, 254107, 385617, 581729, 872535, 1301722, 1932006, 2853530, 4194867, 6139361, 8946742, 12984724, 18771092, 27033892 (list; graph; listen)
OFFSET

0,2

REFERENCES

R. P. Stanley, Theory and application of plane partitions II, Studies in Appl. Math., 50 (1971), 259-279.

FORMULA

G.f.: 1/Product((1-x^i)*Product(1-x^j,j=2*i-1..infinity),i=1..infinity) or 1/Product((1-x^i)^floor((i+3)/2),i=1..infinity). - Vladeta Jovovic (vladeta(AT)Eunet.yu), May 21 2006

CROSSREFS

Cf. A003293.

Adjacent sequences: A005983 A005984 A005985 this_sequence A005987 A005988 A005989

Sequence in context: A062475 A124920 A064934 this_sequence A140992 A093053 A075712

KEYWORD

nonn

AUTHOR

njas

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), May 21 2006

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Last modified October 12 15:26 EDT 2008. Contains 144830 sequences.


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