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A278926 a(n) = permanent M_n where M_n is the n X n matrix m(i,j) = i^4 + j^4. 4
1, 2, 353, 561608, 4341274884, 111107400842568, 7493918659070379300, 1139021252689549522419840, 348457223545199873458486125120, 196982631587037086047232203674775680, 192443334239172066295878807351087122210880, 307899710379447999264505625949360598523097530880 (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!^5 / n^2, where d = 11.83108... and c = 0.68284...

MAPLE

with(LinearAlgebra):

a:= n-> `if`(n=0, 1, Permanent(Matrix(n, (i, j)-> i^4+j^4))):

seq(a(n), n=0..16);

MATHEMATICA

Flatten[{1, Table[Permanent[Table[i^4+j^4, {i, 1, n}, {j, 1, n}]], {n, 1, 15}]}]

PROG

(PARI) {a(n) = matpermanent(matrix(n, n, i, j, i^4+j^4))}

for(n=0, 20, print1(a(n), ", ")) \\ Vaclav Kotesovec, Dec 21 2018

CROSSREFS

Cf. A204249, A278847, A278925.

Sequence in context: A179959 A024350 A012669 * A187523 A172860 A164700

Adjacent sequences:  A278923 A278924 A278925 * A278927 A278928 A278929

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Dec 01 2016

STATUS

approved

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Last modified July 5 17:29 EDT 2020. Contains 335473 sequences. (Running on oeis4.)