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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. 3
0, 1, 27, 2401, 759375, 887503681, 3938980639167, 67675234241018881, 4558916353692287109375, 1213972926354344043087129601, 1284197945649659948122178573052927, 5412701932445852698371002894178179850241, 91054366938067173656011584805755385081787109375 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Andrew Howroyd, Table of n, a(n) for n = 1..50

FORMULA

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

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

MAPLE

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

PROG

(PARI) a(n) = {(2^(n-1)-1)^n} \\ Andrew Howroyd, Jan 05 2020

CROSSREFS

Cf. A055601, A086193, A092477.

Sequence in context: A272630 A060629 A287228 * A323314 A295022 A017427

Adjacent sequences:  A086203 A086204 A086205 * A086207 A086208 A086209

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic, Aug 27 2003

EXTENSIONS

Terms a(11) and beyond from Andrew Howroyd, Jan 05 2020

STATUS

approved

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Last modified September 21 20:10 EDT 2021. Contains 347598 sequences. (Running on oeis4.)