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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..200

FORMULA

a(n) = (Sum_{k=1..n} k^2)*((n-1)!)^2 = (n+1)!*(n-1)!*(2*n+1)/3!.

MATHEMATICA

Table[(n + 1)! (n - 1)! (2 n + 1) / 3!, {n, 1, 30}] (* Vincenzo Librandi Jul 04 2018 *)

PROG

(PARI) { for (n=1, 201, write("b060080.txt", n - 1, " ", (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.

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

STATUS

approved

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Last modified January 25 08:01 EST 2021. Contains 340416 sequences. (Running on oeis4.)