|
Search: id:A080859
|
|
|
| A080859 |
|
Generalized polygonal numbers. |
|
+0
2
|
|
| 1, 11, 33, 67, 113, 171, 241, 323, 417, 523, 641, 771, 913, 1067, 1233, 1411, 1601, 1803, 2017, 2243, 2481, 2731, 2993, 3267, 3553, 3851, 4161, 4483, 4817, 5163, 5521, 5891, 6273, 6667, 7073, 7491, 7921, 8363, 8817, 9283, 9761, 10251, 10753, 11267
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Column T(n,4) of A080853
|
|
FORMULA
|
a(n) = C(4, 0)+C(4, 1)n+C(4, 2)n^2 = 6n^2+4n+1 G.f. (C(3, 0)+(C(5, 2)-2)*x+C(3, 2)*x^2)/(1-x)^3 = (1+8x+3x^2)/(1-x)^3
|
|
CROSSREFS
|
Adjacent sequences: A080856 A080857 A080858 this_sequence A080860 A080861 A080862
Sequence in context: A029516 A061833 A132285 this_sequence A063036 A027025 A120354
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Feb 23 2003
|
|
|
Search completed in 0.002 seconds
|
