|
|
A140675
|
|
a(n) = n*(3*n + 19)/2.
|
|
15
|
|
|
0, 11, 25, 42, 62, 85, 111, 140, 172, 207, 245, 286, 330, 377, 427, 480, 536, 595, 657, 722, 790, 861, 935, 1012, 1092, 1175, 1261, 1350, 1442, 1537, 1635, 1736, 1840, 1947, 2057, 2170, 2286, 2405, 2527, 2652, 2780, 2911, 3045, 3182
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
a(n) = (3*n^2 + 19*n)/2.
E.g.f.: (1/2)*(3*x^2 + 22*x)*exp(x). - G. C. Greubel, Jul 17 2017
|
|
MATHEMATICA
|
Table[(n(3n+19))/2, {n, 0, 50}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 11, 25}, 50] (* Harvey P. Dale, Apr 26 2018 *)
|
|
PROG
|
|
|
CROSSREFS
|
The generalized pentagonal numbers b*n+3*n*(n-1)/2, for b = 1 through 12, form sequences A000326, A005449, A045943, A115067, A140090, A140091, A059845, A140672, A140673, A140674, A140675, A151542.
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|