This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A060080 #31 May 04 2025 01:58:10
%S A060080 1,5,56,1080,31680,1310400,72576000,5181926400,463325184000,
%T A060080 50697529344000,6663103856640000,1035678099456000000,
%U A060080 187913434365296640000,39357424864287129600000,9424067526124476825600000,2558178330075402338304000000,781407199004850168791040000000
%N A060080 Scaled sums of squares.
%H A060080 Harry J. Smith, <a href="/A060080/b060080.txt">Table of n, a(n) for n = 1..201</a> [offset shifted by _Georg Fischer_, May 11 2021]
%F A060080 a(n) = (Sum_{k=1..n} k^2)*((n-1)!)^2 = (n+1)!*(n-1)!*(2*n+1)/3!.
%F A060080 a(n) = A000330(n) * A001044(n-1).
%F A060080 From _Amiram Eldar_, May 03 2025: (Start)
%F A060080 Sum_{n>=1} 1/a(n) = 3 * BesselI(1, 2) (Pi * StruveL(0, 2) + 2) - 3 * BesselI(0, 2) * (Pi * StruveL(1, 2) + 2).
%F A060080 Sum_{n>=1} (-1)^(n+1)/a(n) = 3 * BesselJ(1, 2) * (Pi * StruveH(0, 2) - 2) - 3 * BesselJ(0, 2) * (Pi * StruveH(1, 2) - 2). (End)
%t A060080 Table[(n + 1)! (n - 1)! (2 n + 1) / 3!, {n, 1, 30}] (* _Vincenzo Librandi_ Jul 04 2018 *)
%o A060080 (PARI) a(n) = { (n + 1)!*(n - 1)!*(2*n + 1)/6 } \\ _Harry J. Smith_, Jul 01 2009
%o A060080 (Magma) [Factorial(n+1) * Factorial(n-1) * (2*n+1)/6: n in [1..20]]; // _Vincenzo Librandi_, Jul 05 2018
%Y A060080 See Comments section at A060074.
%Y A060080 Cf. A000330, A001044.
%K A060080 nonn
%O A060080 1,2
%A A060080 _Wolfdieter Lang_, Mar 16 2001
%E A060080 Offset changed from 0 to 1 by _Georg Fischer_, May 09 2021