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A159371
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Number of n X n arrays of squares of integers summing to 8
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1
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6, 675, 34830, 1347525, 32145930, 460513662, 4464289944, 32292364770, 186464336850, 900743450145, 3764484413118, 13954005203463, 46750424936670, 143665627355100, 409707743053920, 1094582930018724, 2760817157366382
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OFFSET
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2,1
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COMMENTS
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All such sequences have holonomic recurrences (cf. comment in A159359). - Georg Fischer, Feb 17 2022
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (17, -136, 680, -2380, 6188, -12376, 19448, -24310, 24310, -19448, 12376, -6188, 2380, -680, 136, -17, 1).
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FORMULA
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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]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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