

A002772


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


3



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

2,1


REFERENCES

T. Muir, The expression of any bordered skew determinant as a sum of products of Pfaffians, Proc. Roy. Soc. Edinburgh, 21 (1896), 342359.
T. Muir, The Theory of Determinants in the Historical Order of Development. 4 vols., Macmillan, NY, 19061923, 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

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), 342359. [Annotated scan of pages 354357 only]
T. Muir, The Theory of Determinants in the Historical Order of Development, 4 vols., Macmillan, NY, 19061923, Vol. 4.


FORMULA

a(n) = (n1)! * sum(A002771(k) / k!, k=0..n1) with the understanding that A002771(0) = 1.  Sean A. Irvine, Aug 18 2014


CROSSREFS

Cf. A002771, A243107.
Sequence in context: A012267 A012268 A009655 * A000140 A079263 A129815
Adjacent sequences: A002769 A002770 A002771 * A002773 A002774 A002775


KEYWORD

nonn


AUTHOR

N. J. A. Sloane.


EXTENSIONS

More terms from Sean A. Irvine, Aug 18 2014


STATUS

approved



