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A086206 Number of n X n matrices with entries in {0,1} with no zero row and with zero main diagonal. 2
0, 1, 27, 2401, 759375, 887503681, 3938980639167, 67675234241018881, 4558916353692287109375, 1213972926354344043087129601 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

FORMULA

a(n) = (2^(n-1)-1)^n = Sum_{k=0..n} (-1)^k*binomial(n, k)*2^((n-k)*(n-1)).

MAPLE

with(combinat): a:=n->(mul((stirling2(n, 2)), j=1..n)): seq(a(n), n=1..10); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 03 2007

CROSSREFS

Cf. A055601, A086193.

a(n) = A092477(n, n-1).

Sequence in context: A017307 A167725 A060629 * A017427 A050644 A048567

Adjacent sequences:  A086203 A086204 A086205 * A086207 A086208 A086209

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 27 2003

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Last modified February 17 04:56 EST 2012. Contains 205985 sequences.