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A005986 Number of column-strict plane partitions of n.
(Formerly M1393)
0
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; refs; listen; history; internal format)
OFFSET

0,2

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

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.rs), May 21 2006

CROSSREFS

Cf. A003293.

Sequence in context: A124920 A064934 A171985 * A147878 A179902 A140992

Adjacent sequences:  A005983 A005984 A005985 * A005987 A005988 A005989

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), May 21 2006

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Last modified February 13 15:16 EST 2012. Contains 205519 sequences.