A159403 Number of n X n arrays of squares of integers summing to 19.

16, 6300, 2313824, 958814800, 344874634776, 94238931103688, 17587610284856640, 2081480274802819080, 154433611467392996200, 7500926051791640560840, 253440319439897133594336, 6305930304447589335730756

Offset: 2

Author

R. H. Hardin, Apr 11 2009

Keywords

• nonn

Comments

All such sequences have holonomic recurrences (cf. comment in A159359). - Georg Fischer, Feb 17 2022

Links

• R. H. Hardin, Table of n, a(n) for n = 2..100
• Vaclav Kotesovec, G.f. for A159403
• Index entries for linear recurrences with constant coefficients, signature (39, -741, 9139, -82251, 575757, -3262623, 15380937, -61523748, 211915132, -635745396, 1676056044, -3910797436, 8122425444, -15084504396, 25140840660, -37711260990, 51021117810, -62359143990, 68923264410, -68923264410, 62359143990, -51021117810, 37711260990, -25140840660, 15084504396, -8122425444, 3910797436, -1676056044, 635745396, -211915132, 61523748, -15380937, 3262623, -575757, 82251, -9139, 741, -39, 1).

Formula

G.f.: see link above. - Vaclav Kotesovec, Dec 04 2012