A131877 a(n) = 14*n + 1.

1, 15, 29, 43, 57, 71, 85, 99, 113, 127, 141, 155, 169, 183, 197, 211, 225, 239, 253, 267, 281, 295, 309, 323, 337, 351, 365, 379, 393, 407, 421, 435, 449, 463, 477, 491, 505, 519, 533, 547, 561, 575, 589, 603, 617, 631, 645, 659, 673, 687, 701, 715, 729

Offset

0,2

Comments

Left column of triangle A131876.

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

Partial sums give A051868. - Leo Tavares, Mar 19 2023

Links

Table of n, a(n) for n=0..52.

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Formula

a(n) = 14*n + 1.

From Elmo R. Oliveira, Apr 03 2024: (Start)

G.f.: (1+13*x)/(1-x)^2.

E.g.f.: exp(x)*(1 + 14*x).

a(n) = A051868(n+1) - A051868(n).

a(n) = 2*a(n-1) - a(n-2) for n >= 2. (End)

Example

a(2) = 29 = 2*14 + 1.
a(2) = 29 = (1, 2, 1) dot (1, 14, 0) = (1 + 28 + 0).

Mathematica

Range[1, 1000, 14] (* Vladimir Joseph Stephan Orlovsky, May 31 2011 *)

Crossrefs

Cf. A008596, A131876.

Cf. A051868.

Sequence in context: A051121 A001356 A104811 * A354161 A211324 A354163

Adjacent sequences: A131874 A131875 A131876 * A131878 A131879 A131880

Keyword

nonn

Author

Gary W. Adamson, Jul 22 2007

Status

approved