A002772 Number of terms in a bordered skew determinant.

2, 6, 22, 101, 546, 3502, 25586, 214062, 1987516, 20599076, 232482372, 2876191276, 38228128472, 549706132536, 8408517839416, 137788390312712, 2383879842920976, 43846851982943152, 846470648320690736, 17266870434276713616, 367937854493289655072

Offset: 2

Author

N. J. A. Sloane

Keywords

• nonn

References

• 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).

Links

• 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.

Crossrefs

Cf. A002771, A243107.

Formula

a(n) = (n-1)! * Sum_{k=0..n-1} A002771(k) / k! with the understanding that A002771(0) = 1. - Sean A. Irvine, Aug 18 2014

Extensions

More terms from Sean A. Irvine, Aug 18 2014