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A278847 a(n) = permanent M_n where M_n is the n X n matrix m(i,j) = i^2 + j^2. 9
1, 2, 41, 3176, 620964, 246796680, 174252885732, 199381727959680, 345875291854507584, 864860593764292790400, 2996169331694350840741440, 13929521390709644084719495680, 84659009841182126038701730464000, 658043094413184868424932006273344000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..36

FORMULA

a(n) ~ c * d^n * (n!)^3 / n, where d = 3.809076776112918119... and c = 1.07739642254738...

MAPLE

with(LinearAlgebra):

a:= n-> `if`(n=0, 1, Permanent(Matrix(n, (i, j)-> i^2+j^2))):

seq(a(n), n=0..16);  # after Alois P. Heinz

MATHEMATICA

Flatten[{1, Table[Permanent[Table[i^2+j^2, {i, 1, n}, {j, 1, n}]], {n, 1, 15}]}]

PROG

(PARI) a(n)={matpermanent(matrix(n, n, i, j, i^2 + j^2))} \\ Andrew Howroyd, Aug 21 2018

CROSSREFS

Cf. A005249, A085750, A085807, A204249, A278845, A278925, A278926.

Sequence in context: A054742 A113634 A098634 * A297007 A193270 A076391

Adjacent sequences:  A278844 A278845 A278846 * A278848 A278849 A278850

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Nov 29 2016

STATUS

approved

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Last modified March 20 19:57 EDT 2019. Contains 321349 sequences. (Running on oeis4.)