A139614 a(n) = 91*n + 14.

14, 105, 196, 287, 378, 469, 560, 651, 742, 833, 924, 1015, 1106, 1197, 1288, 1379, 1470, 1561, 1652, 1743, 1834, 1925, 2016, 2107, 2198, 2289, 2380, 2471, 2562, 2653, 2744, 2835, 2926, 3017, 3108, 3199, 3290, 3381, 3472, 3563, 3654

Offset

0,1

Comments

Numbers of the 14th column of positive numbers in the square array of nonnegative and polygonal numbers A139600. Also, numbers of the 14th column in the square array A057145.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..5000

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

Formula

a(n) = 2*a(n-1) - a(n-2); a(0)=14, a(1)=105. - Harvey P. Dale, Feb 25 2015

From Elmo R. Oliveira, Apr 04 2024: (Start)

G.f.: 7*(2+11*x)/(x-1)^2.

E.g.f.: 7*exp(x)*(2 + 13*x).

a(n) = 7*A153080(n). (End)

Mathematica

91*Range[0, 40]+14 (* or *) LinearRecurrence[{2, -1}, {14, 105}, 50] (* Harvey P. Dale, Feb 25 2015 *)

Prog

(Magma) [7*(13*n + 2): n in [0..60]]; // Vincenzo Librandi, Jul 23 2011
(PARI) a(n)=91*n+14 \\ Charles R Greathouse IV, Oct 05 2011

Crossrefs

Cf. A057145, A139600, A153080.

Sequence in context: A370962 A222369 A131709 * A068390 A162632 A220893

Adjacent sequences: A139611 A139612 A139613 * A139615 A139616 A139617

Keyword

easy,nonn

Author

Omar E. Pol, Apr 27 2008

Status

approved