A159397 Number of n X n arrays of squares of integers summing to 16

5, 3987, 960197, 243293450, 49328395731, 7138321890616, 666179701320556, 38558976229027926, 1439078695947198175, 37055970405356439240, 701629710103618241661, 10289171538319337074541, 121736692023067368010505

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 (33, -528, 5456, -40920, 237336, -1107568, 4272048, -13884156, 38567100, -92561040, 193536720, -354817320, 573166440, -818809200, 1037158320, -1166803110, 1166803110, -1037158320, 818809200, -573166440, 354817320, -193536720, 92561040, -38567100, 13884156, -4272048, 1107568, -237336, 40920, -5456, 528, -33, 1).

Formula

Empirical G.f.: -x - x*(1+x)*(1 -29*x + 4379*x^2 + 821431*x^3 + 212904294*x^4 + 41572005795*x^5 + 5592296001394*x^6 + 449779113080002*x^7 + 19634897290562828*x^8 + 461755603301498981*x^9 + 6109738979241997636*x^10 + 47748225885297619913*x^11 + 229005554540179223339*x^12 + 691824816742731558421*x^13 + 1336833271423720702097*x^14 + 1664132445913632199036*x^15 + 1336833271423720702097*x^16 + 691824816742731558421*x^17 + 229005554540179223339*x^18 + 47748225885297619913*x^19 + 6109738979241997636*x^20 + 461755603301498981*x^21 + 19634897290562828*x^22 + 449779113080002*x^23 + 5592296001394*x^24 + 41572005795*x^25 + 212904294*x^26 + 821431*x^27 + 4379*x^28 - 29*x^29 + x^30)/(-1+x)^33. - Vaclav Kotesovec, Nov 30 2012

Crossrefs

Sequence in context: A172954 A079173 A073826 * A024074 A276238 A357125

Adjacent sequences: A159394 A159395 A159396 * A159398 A159399 A159400

Keyword

nonn

Author

R. H. Hardin Apr 11 2009

Status

approved