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A390884

a(n) is the permanent of the n X n matrix M(n) whose generic entry M(i, j, n) is F(2*n - (i + j)) with 1 <= i,j <= n and F = A000045.

1, 0, 1, 8, 276, 29340, 9861600, 10045401600, 30570226194816, 273397821409480320, 7104028561281623160000, 531056736481785504007248000, 113298939677963776783311231482880, 68516740194104115461776815173961400320, 116769911106116708653768530961178427783091200, 558013528500458437166237588824657715740173004800000

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OFFSET

0,4

COMMENTS

Except for n = 2 corresponding to the Cassini's identity F(2)*F(0) - F(1)^2 = -1 = det(M(2)), the matrix M(n) is singular.

LINKS

Table of n, a(n) for n=0..15.

Wikipedia, Cassini and Catalan identities.

EXAMPLE

a(4) = 276:

[8, 5, 3, 2]

[5, 3, 2, 1]