A159392 Number of n X n arrays of squares of integers summing to 14

24, 2520, 503616, 85380600, 11267944488, 1008474419568, 56159712530496, 1957557182156496, 45750088895603400, 771069955155892920, 9947917198190930112, 102886031599392144792, 883927680158797591800

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 (29, -406, 3654, -23751, 118755, -475020, 1560780, -4292145, 10015005, -20030010, 34597290, -51895935, 67863915, -77558760, 77558760, -67863915, 51895935, -34597290, 20030010, -10015005, 4292145, -1560780, 475020, -118755, 23751, -3654, 406, -29, 1).

Formula

Empirical G.f.: -24*x^2*(1+x)*(1 + 75*x + 18270*x^2 + 2969695*x^3 + 371519352*x^4 + 29402869921*x^5 + 1270115156506*x^6 + 27861646979401*x^7 + 320243742405791*x^8 + 2035253623371844*x^9 + 7457245326412232*x^10 + 16147921368666408*x^11 + 20880695398301008*x^12 + 16147921368666408*x^13 + 7457245326412232*x^14 + 2035253623371844*x^15 + 320243742405791*x^16 + 27861646979401*x^17 + 1270115156506*x^18 + 29402869921*x^19 + 371519352*x^20 + 2969695*x^21 + 18270*x^22 + 75*x^23 + x^24)/(-1+x)^29. - Vaclav Kotesovec, Nov 30 2012

Crossrefs

Sequence in context: A354106 A336864 A008977 * A064596 A217971 A296652

Adjacent sequences: A159389 A159390 A159391 * A159393 A159394 A159395

Keyword

nonn

Author

R. H. Hardin Apr 11 2009

Status

approved