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A002772 Number of terms in a bordered skew determinant.
(Formerly M1664 N0654)
3

%I M1664 N0654

%S 2,6,22,101,546,3502,25586,214062,1987516,20599076,232482372,

%T 2876191276,38228128472,549706132536,8408517839416,137788390312712,

%U 2383879842920976,43846851982943152,846470648320690736,17266870434276713616,367937854493289655072

%N Number of terms in a bordered skew determinant.

%D T. Muir, The expression of any bordered skew determinant as a sum of products of Pfaffians, Proc. Roy. Soc. Edinburgh, 21 (1896), 342-359.

%D T. Muir, The Theory of Determinants in the Historical Order of Development. 4 vols., Macmillan, NY, 1906-1923, Vol. 4, p. 278.

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

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

%H T. Muir, <a href="/A002772/a002772.pdf">The expression of any bordered skew determinant as a sum of products of Pfaffians</a>, Proc. Roy. Soc. Edinburgh, 21 (1896), 342-359. [Annotated scan of pages 354-357 only]

%H T. Muir, <a href="http://www.hti.umich.edu/cgi/t/text/text-idx?sid=b88432273f115fb346725f1a42422e19;c=umhistmath;idno=ACM9350.0004.001">The Theory of Determinants in the Historical Order of Development</a>, 4 vols., Macmillan, NY, 1906-1923, Vol. 4.

%F 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

%Y Cf. A002771, A243107.

%K nonn

%O 2,1

%A _N. J. A. Sloane_.

%E More terms from _Sean A. Irvine_, Aug 18 2014

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Last modified March 20 07:27 EDT 2019. Contains 321345 sequences. (Running on oeis4.)