A156796 a(n) = 81*n - 22.

59, 140, 221, 302, 383, 464, 545, 626, 707, 788, 869, 950, 1031, 1112, 1193, 1274, 1355, 1436, 1517, 1598, 1679, 1760, 1841, 1922, 2003, 2084, 2165, 2246, 2327, 2408, 2489, 2570, 2651, 2732, 2813, 2894, 2975, 3056, 3137, 3218, 3299, 3380, 3461, 3542

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

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

Formula

From Vincenzo Librandi, Mar 01 2012: (Start)

G.f.: x*(59 + 22*x)/(1-x)^2.

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

E.g.f.: 22 - (22 - 81*x)*exp(x). - G. C. Greubel, Jun 26 2021

Mathematica

LinearRecurrence[{2, -1}, {59, 140}, 50] (* Vincenzo Librandi, Mar 01 2012 *)

Prog

(PARI) a(n)=81*n-22 \\ Charles R Greathouse IV, Dec 23 2011
(Magma) I:=[59, 140]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..50]]; // Vincenzo Librandi, Mar 01 2012
(Sage) [81*n - 22 for n in (1..50)] # G. C. Greubel, Jun 26 2021

Crossrefs

Sequence in context: A129480 A044310 A044691 * A183348 A106756 A102168

Adjacent sequences: A156793 A156794 A156795 * A156797 A156798 A156799

Keyword

nonn,easy

Author

Vincenzo Librandi, Feb 16 2009

Status

approved