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 A159371 Number of n X n arrays of squares of integers summing to 8 1

%I #8 Dec 22 2023 10:30:02

%S 6,675,34830,1347525,32145930,460513662,4464289944,32292364770,

%T 186464336850,900743450145,3764484413118,13954005203463,

%U 46750424936670,143665627355100,409707743053920,1094582930018724,2760817157366382

%N Number of n X n arrays of squares of integers summing to 8

%C All such sequences have holonomic recurrences (cf. comment in A159359). - _Georg Fischer_, Feb 17 2022

%H R. H. Hardin, <a href="/A159371/b159371.txt">Table of n, a(n) for n=2..100</a>

%H <a href="/index/Rec#order_17">Index entries for linear recurrences with constant coefficients</a>, signature (17, -136, 680, -2380, 6188, -12376, 19448, -24310, 24310, -19448, 12376, -6188, 2380, -680, 136, -17, 1).

%F Empirical: n^2*(n^2-1)*(n^12-27*n^10+295*n^8+15*n^6-10016*n^4+35652*^2-15120)/40320. [From _R. J. Mathar_, Aug 11 2009]

%K nonn

%O 2,1

%A _R. H. Hardin_ Apr 11 2009

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Last modified August 6 15:42 EDT 2024. Contains 374974 sequences. (Running on oeis4.)