A139617 a(n) = 136*n + 17.

17, 153, 289, 425, 561, 697, 833, 969, 1105, 1241, 1377, 1513, 1649, 1785, 1921, 2057, 2193, 2329, 2465, 2601, 2737, 2873, 3009, 3145, 3281, 3417, 3553, 3689, 3825, 3961, 4097, 4233, 4369, 4505, 4641, 4777, 4913, 5049, 5185, 5321

Offset

0,1

Comments

Numbers of the 17th column of positive numbers in the square array of nonnegative and polygonal numbers A139600. Also, numbers of the 17th 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

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

G.f.: 17*(1+7*x)/(x-1)^2.

E.g.f.: 17*exp(x)*(1 + 8*x).

a(n) = 17*A017077(n).

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

Mathematica

136*Range[0, 40]+17  (* or *) LinearRecurrence[{2, -1}, {17, 153}, 40] (* Harvey P. Dale, Jul 27 2015 *)

Prog

(Magma) [17*(8*n + 1): n in [0..60]]; // Vincenzo Librandi, Jul 23 2011
(PARI) a(n)=136*n+17 \\ Charles R Greathouse IV, Oct 05 2011

Crossrefs

Cf. A017077, A057145, A139600.

Sequence in context: A162328 A161877 A221737 * A188353 A162637 A247613

Adjacent sequences: A139614 A139615 A139616 * A139618 A139619 A139620

Keyword

easy,nonn,changed

Author

Omar E. Pol, May 21 2008

Status

approved