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A006333 From the enumeration of corners.
(Formerly M2175)
0
0, 2, 60, 660, 4290, 20020, 74256, 232560, 639540, 1586310, 3617900, 7696260, 15438150, 29451240, 53796160, 94607040, 160908264, 265670730, 427156860, 670609940, 1030350090, 1552346268, 2297341200, 3344614000, 4796473500 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

REFERENCES

G. Kreweras, Sur une classe de problemes de denombrement lies au treillis des partitions des entiers, Cahiers du Bureau Universitaire de Recherche Op\'{e}rationnelle}, Institut de Statistique, Universit\'{e} de Paris, 6 (1965), circa p. 82.

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

FORMULA

a(n) = (n*(1 + n)^2*(2 + n)^2*(3 + n)*(1 + 2*n)*(3 + 2*n)*(5 + 2*n))/7560.

G.f.: 2*(1+20*x+75*x^2+75*x^3+20*x^4+x^5)/(1-x)^10.

CROSSREFS

A row of A132339.

Sequence in context: A067739 A187626 A059934 * A001760 A157059 A199643

Adjacent sequences:  A006330 A006331 A006332 * A006334 A006335 A006336

KEYWORD

nonn

AUTHOR

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

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Last modified February 14 17:06 EST 2012. Contains 205644 sequences.