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A157503 det(I - M) where M_jk = (j*x)^k/k!. 2
1, -1, -4, -21, -160, -1505, -17136, -226093, -3334528, -53031105, -864640000, -12957006821, -107329453056, 4548002439071, 409321789829120, 23780752998703875, 1257249577352658944, 65336038911885770623 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The n X n matrix M is a Vandermonde matrix of (x, 2x, 3x, ..., j*x, ..., n*x) scaled by factorials. The first n coefficients of x in det(I - M) are always the same.

LINKS

Andrew J. Robbins, Table of n, a(n) for n = 0..50

FORMULA

E.g.f.: det(I - M) where M_jk = (j*x)^k/k!.

MATHEMATICA

A[n_] := D[Det[Table[KroneckerDelta[j, k] - (j*x)^k/k!, {j, 1, n}, {k, 1, n}]], {x, n}]/.x->0

CROSSREFS

Sequence in context: A357424 A166901 A060072 * A144010 A179496 A339233

Adjacent sequences: A157500 A157501 A157502 * A157504 A157505 A157506

KEYWORD

easy,sign

AUTHOR

Andrew J. Robbins, Mar 02 2009

STATUS

approved

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Last modified December 1 23:44 EST 2022. Contains 358485 sequences. (Running on oeis4.)