A119525 - OEIS

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A119525

Determinant of n X n matrix of first n^2 nonzero terms of A000332 binomial coefficients binomial(n,4).

%I #4 Mar 30 2012 18:40:37

%S 1,-40,-8505,9765625,0

%N Determinant of n X n matrix of first n^2 nonzero terms of A000332 binomial coefficients binomial(n,4).

%C a(5) = 5^10.

%e a(3) = -8505 =

%e |..1...5..15|

%e |.35..70.126|

%e |210.330.495|.

%e a(4) = 0 because of the singular matrix 0 =

%e |.1...3...6..10|

%e |15..21..28..36|

%e |45..55..66..78|

%e |91.105.120.136|.

%Y Cf. A000217, A119493.

%K easy,sign

%O 1,2

%A _Jonathan Vos Post_, May 27 2006