A131878 a(n) = 7*n^2 + 14*n + 1

1, 22, 57, 106, 169, 246, 337, 442, 561, 694, 841, 1002, 1177, 1366, 1569, 1786, 2017, 2262, 2521, 2794, 3081, 3382, 3697, 4026, 4369, 4726, 5097, 5482, 5881, 6294, 6721, 7162, 7617, 8086, 8569, 9066, 9577, 10102, 10641, 11194, 11761, 12342, 12937, 13546, 14169, 14806, 15457, 16122, 16801, 17494

Offset

0,2

Comments

The original terms listed here were incorrect: 1002 through 8086 were listed as 988 through 8072, consistently 14 lower than the actual values. - Russ Cox, Apr 18 2024

Links

Table of n, a(n) for n=0..49.

Formula

Binomial transform of (1, 21, 14, 0, 0, 0, ...).

a(n) = a(n-1) + 14*n + 7 (with a(0)=1). - Vincenzo Librandi, Nov 23 2010

Row sums of triangle A131876.

Example

a(2) = 57 = sum of row 2 terms of triangle A131876: (29 + 15 + 13).
a(2) = 57 = (1, 2, 1) dot (1, 21, 14) = (1 + 42 + 14).

Crossrefs

Cf. A131876.

Sequence in context: A063302 A088820 A058097 * A019506 A202387 A044124

Adjacent sequences: A131875 A131876 A131877 * A131879 A131880 A131881

Keyword

nonn,easy

Author

Gary W. Adamson, Jul 22 2007

Extensions

Corrected and extended by Russ Cox, Apr 18 2024

Status

approved