|
|
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
|
|
|
|