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 A060080 Scaled sums of squares. 2
 1, 5, 56, 1080, 31680, 1310400, 72576000, 5181926400, 463325184000, 50697529344000, 6663103856640000, 1035678099456000000, 187913434365296640000, 39357424864287129600000, 9424067526124476825600000, 2558178330075402338304000000, 781407199004850168791040000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Harry J. Smith, Table of n, a(n) for n = 1..201 [offset shifted by Georg Fischer, May 11 2021] FORMULA a(n) = (Sum_{k=1..n} k^2)*((n-1)!)^2 = (n+1)!*(n-1)!*(2*n+1)/3!. a(n) = A000330(n) * A001044(n-1). MATHEMATICA Table[(n + 1)! (n - 1)! (2 n + 1) / 3!, {n, 1, 30}] (* Vincenzo Librandi Jul 04 2018 *) PROG (PARI) a(n) = { (n + 1)!*(n - 1)!*(2*n + 1)/6 } \\ Harry J. Smith, Jul 01 2009 (Magma) [Factorial(n+1) * Factorial(n-1) * (2*n+1)/6: n in [1..20]]; // Vincenzo Librandi, Jul 05 2018 CROSSREFS See Comments section at A060074. Cf. A000330, A001044. Sequence in context: A217819 A132618 A192562 * A203522 A180874 A336243 Adjacent sequences: A060077 A060078 A060079 * A060081 A060082 A060083 KEYWORD nonn AUTHOR Wolfdieter Lang, Mar 16 2001 EXTENSIONS Offset changed from 0 to 1 by Georg Fischer, May 09 2021 STATUS approved

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Last modified September 25 18:27 EDT 2023. Contains 365648 sequences. (Running on oeis4.)