A159383 Number of n X n arrays of squares of integers summing to 11

12, 1584, 152688, 13648200, 846679356, 32762864904, 779081474880, 12381739674840, 143119261158300, 1283949949655736, 9379210663695600, 57819891720389760, 309087991429311276, 1463326913027026800

Offset

2,1

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

Index entries for linear recurrences with constant coefficients, signature (23, -253, 1771, -8855, 33649, -100947, 245157, -490314, 817190, -1144066, 1352078, -1352078, 1144066, -817190, 490314, -245157, 100947, -33649, 8855, -1771, 253, -23, 1).

Formula

Empirical G.f.: -12*x^2*(1+x)*(1 + 108*x + 9833*x^2 + 866490*x^3 + 46525328*x^4 + 1327261872*x^5 + 16745609840*x^6 + 97277340534*x^7 + 275802359702*x^8 + 390874554984*x^9 + 275802359702*x^10 + 97277340534*x^11 + 16745609840*x^12 + 1327261872*x^13 + 46525328*x^14 + 866490*x^15 + 9833*x^16 + 108*x^17 + x^18)/(-1+x)^23. - Vaclav Kotesovec, Nov 30 2012

Crossrefs

Sequence in context: A160237 A013474 A013515 * A015011 A271435 A271436

Adjacent sequences: A159380 A159381 A159382 * A159384 A159385 A159386

Keyword

nonn

Author

R. H. Hardin Apr 11 2009

Status

approved