A159409 Number of n X n arrays of squares of integers summing to 22.

24, 8064, 5037600, 3174009200, 1882950151680, 899220266678944, 309189853885141152, 70127950221363153600, 10010731525034640878800, 907457680142781736880560, 54692309643517397134557792, 2316866493981973489812610432, 72620271578582971583471226760

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 A159409
• Index entries for linear recurrences with constant coefficients, signature (45, -990, 14190, -148995, 1221759, -8145060, 45379620, -215553195, 886163135, -3190187286, 10150595910, -28760021745, 73006209045, -166871334960, 344867425584, -646626422970, 1103068603890, -1715884494940, 2438362177020, -3169870830126, 3773655750150, -4116715363800, 4116715363800, -3773655750150, 3169870830126, -2438362177020, 1715884494940, -1103068603890, 646626422970, -344867425584, 166871334960, -73006209045, 28760021745, -10150595910, 3190187286, -886163135, 215553195, -45379620, 8145060, -1221759, 148995, -14190, 990, -45, 1).

Formula

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