|
|
A289643
|
|
n*(2*n+1)*binomial(n+2,n)/3.
|
|
0
|
|
|
0, 3, 20, 70, 180, 385, 728, 1260, 2040, 3135, 4620, 6578, 9100, 12285, 16240, 21080, 26928, 33915, 42180, 51870, 63140, 76153, 91080, 108100, 127400, 149175, 173628, 200970, 231420, 265205, 302560, 343728, 388960, 438515, 492660, 551670, 615828, 685425, 760760, 842140
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
S. Butler, P. Karasik, A note on nested sums, J. Int. Seq. 13 (2010), 10.4.4, p=2 in the first displayed equation on page 4.
|
|
FORMULA
|
G.f.: -x*(3+5*x)/(x-1)^5 .
|
|
MATHEMATICA
|
Table[n(2n+1) Binomial[n+2, n]/3, {n, 0, 40}] (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {0, 3, 20, 70, 180}, 40] (* Harvey P. Dale, May 18 2019 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|