A164852 Diagonal sum of generalized Lucas-Pascal triangle;(11*10^n,1)

1, 12, 13, 124, 137, 1251, 1388, 12539, 13927, 125466, 139393, 1254859, 1394252, 12549111, 13943363, 125492474, 139435837, 1254928311, 1394364148, 12549292459, 13943656607, 125492949066, 139436605673, 1254929554739, 1394366160412, 12549295715151

Offset

1,2

Links

Table of n, a(n) for n=1..26.

Index entries for linear recurrences with constant coefficients, signature (1,11,-10,-10).

Formula

G.f.: -x*(-1-11*x+10*x^2+11*x^3) / ( (10*x^2-1)*(x^2+x-1) ). - R. J. Mathar, Nov 03 2016

Mathematica

LinearRecurrence[{1, 11, -10, -10}, {1, 12, 13, 124}, 40] (* Harvey P. Dale, Aug 05 2018 *)

Crossrefs

A164851, A000032

Sequence in context: A129476 A243361 A037278 * A362113 A033048 A108771

Adjacent sequences: A164849 A164850 A164851 * A164853 A164854 A164855

Keyword

nonn,easy

Author

Mark Dols, Aug 28 2009

Extensions

More terms from Harvey P. Dale, Aug 05 2018

Status

approved