A159359
Number of n X n arrays of squares of integers summing to 5.
Original entry on oeis.org
12, 198, 4608, 53730, 378252, 1909236, 7628544, 25628076, 75297420, 198807114, 481029120, 1082267550, 2289691404, 4595197320, 8809614336, 16225724664, 28845544716, 49690719342, 83218759680, 135872231418, 216792905868, 338738351292, 519244496640, 782084374500
Offset: 2
- R. H. Hardin, Table of n, a(n) for n = 2..100
- Index entries for linear recurrences with constant coefficients, signature (11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1).
A159363
Number of n X n arrays of squares of integers summing to 6.
Original entry on oeis.org
12, 336, 9688, 184000, 1969212, 14039088, 75099360, 324796176, 1192537500, 3844187424, 11144826264, 29583574384, 72891000364, 168494340000, 368541092736, 768025638240, 1533632745708, 2948331631152, 5478589599000, 9873410641248, 17307337994716, 29583198551632
Offset: 2
- R. H. Hardin, Table of n, a(n) for n = 2..100
- Index entries for linear recurrences with constant coefficients, signature (13, -78, 286, -715, 1287, -1716, 1716, -1287, 715, -286, 78, -13, 1).
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C:=binomial; seq(n^2*C(n^2-1,2)+C(n^2,6),n=2..22); # Georg Fischer, Feb 18 2022
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RecurrenceTable[{a[n-1] * (600*n+600*n^2-206*n^3-206*n^4-71*n^5-71*n^6+14*n^7+14*n^8-n^9-n^10) + a[n] * (-672-232*n+2424*n^2-2090*n^3+492*n^4+203*n^5-125*n^6-30*n^7+40*n^8-11*n^9+n^10) == 0, a[2]==12}, a[n], {n,2,20}] (* Georg Fischer, Feb 18 2022 *)
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