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A000597
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Central factorial numbers.
(Formerly M5255 N2287)
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1
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36, 820, 7645, 44473, 191620, 669188, 1999370, 5293970, 12728936, 28285400, 58856655, 115842675, 217378200, 391367064, 679524340, 1142659012
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OFFSET
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4,1
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REFERENCES
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J. Riordan, Combinatorial Identities, Wiley, 1968, p. 217.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Table of n, a(n) for n=4..19.
Mircea Merca, A Special Case of the Generalized Girard-Waring Formula J. Integer Sequences, Vol. 15 (2012), Article 12.5.7.
Index entries for sequences related to factorial numbers
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FORMULA
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a(n) = s(n,n-3)^2-2*s(n,n-4)*s(n,n-2)+2*s(n,n-5)*s(n,n-1)+2*s(n,n-6), where s(n,k) are Stirling numbers of the first kind, A048994. [From Mircea Merca, Apr 03 2012]
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MAPLE
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1/(-1+z)^10*(z^5+75*z^4+603*z^3+1065*z^2+460*z+36);
seq(stirling1(n, n-3)^2-2*stirling1(n, n-4)*stirling1(n, n-2)+2*stirling1(n, n-5)*stirling1(n, n-1)+2*stirling1(n, n-6), n=0..30) [From Mircea Merca, Apr 03 2012]
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CROSSREFS
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Column 3 of triangle A008955.
Sequence in context: A028222 A028216 A028221 * A028214 A028197 A028209
Adjacent sequences: A000594 A000595 A000596 * A000598 A000599 A000600
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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