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A002772
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Number of terms in a bordered skew determinant.
(Formerly M1664 N0654)
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3
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2, 6, 22, 101, 546, 3502, 25586, 214062, 1987516, 20599076, 232482372, 2876191276, 38228128472, 549706132536, 8408517839416, 137788390312712, 2383879842920976, 43846851982943152, 846470648320690736, 17266870434276713616, 367937854493289655072
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OFFSET
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2,1
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REFERENCES
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T. Muir, The expression of any bordered skew determinant as a sum of products of Pfaffians, Proc. Roy. Soc. Edinburgh, 21 (1896), 342-359.
T. Muir, The Theory of Determinants in the Historical Order of Development. 4 vols., Macmillan, NY, 1906-1923, Vol. 4, p. 278.
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=2..22.
T. Muir, The expression of any bordered skew determinant as a sum of products of Pfaffians, Proc. Roy. Soc. Edinburgh, 21 (1896), 342-359. [Annotated scan of pages 354-357 only]
T. Muir, The Theory of Determinants in the Historical Order of Development, 4 vols., Macmillan, NY, 1906-1923, Vol. 4.
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FORMULA
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a(n) = (n-1)! * sum(A002771(k) / k!, k=0..n-1) with the understanding that A002771(0) = 1. - Sean A. Irvine, Aug 18 2014
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CROSSREFS
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Cf. A002771, A243107.
Sequence in context: A012267 A012268 A009655 * A000140 A079263 A129815
Adjacent sequences: A002769 A002770 A002771 * A002773 A002774 A002775
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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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EXTENSIONS
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More terms from Sean A. Irvine, Aug 18 2014
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STATUS
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approved
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