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A001820 Central factorial numbers.
(Formerly M4952 N2121)
+0
3
1, 14, 273, 7645, 296296, 15291640, 1017067024, 84865562640, 8689315795776, 1071814846360896, 156823829909121024, 26862299458337581056 (list; graph; listen)
OFFSET

0,2

COMMENT

a(n-2) is the coefficient of x^3 in Prod[k=0..n, x+k^2].

REFERENCES

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

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

J. Riordan, Combinatorial Identities, Wiley, 1968, p. 217.

CROSSREFS

Cf. A049033.

Third right-hand column of triangle A008955.

Sequence in context: A138560 A051690 A048668 this_sequence A053101 A027401 A158475

Adjacent sequences: A001817 A001818 A001819 this_sequence A001821 A001822 A001823

KEYWORD

nonn

AUTHOR

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

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.


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