A131951 a(n) = 2^n + n*(n+3).

1, 6, 14, 26, 44, 72, 118, 198, 344, 620, 1154, 2202, 4276, 8400, 16622, 33038, 65840, 131412, 262522, 524706, 1049036, 2097656, 4194854, 8389206, 16777864, 33555132, 67109618

Offset

0,2

Comments

Row sums of triangle A131950.

Links

Table of n, a(n) for n=0..26.

Index entries for linear recurrences with constant coefficients, signature (5,-9,7,-2).

Formula

Binomial transform of (1, 5, 3, 1, 1, 1, ...).

G.f. ( 1+x-7*x^2+3*x^3 ) / ( (2*x-1)*(x-1)^3 ). - R. J. Mathar, Apr 04 2012

Example

a(3) = 26 = sum of row 3 terms, triangle A131950: (7 + 6 + 6 + 7).
a(3) = 26 = (1, 3, 3, 1) dot (1, 5, 3, 1) = (1 + 15 + 9 + 1).

Crossrefs

Cf. A131950.

Sequence in context: A288939 A165986 A292670 * A168648 A093776 A107317

Adjacent sequences: A131948 A131949 A131950 * A131952 A131953 A131954

Keyword

nonn,easy

Author

Gary W. Adamson, Jul 30 2007

Extensions

New definition by R. J. Mathar, Apr 04 2012

Status

approved