A138200 a(n) = (14^(2*n+1) + 3^(2*n+1)) / 17.

1, 163, 31651, 6200923, 1215356851, 238209726283, 46689104402851, 9151064445421243, 1793608631144725651, 351547291702945685803, 68903269173764569541251, 13505040758057740566199963

Offset: 0

Author

Reinhard Zumkeller, Mar 05 2008

Keywords

• nonn

Links

• Index entries for linear recurrences with constant coefficients, signature (205, -1764).

Crossrefs

a(n) = A138199(n)/17.

Programs

Magma

[(14^(2*n+1)+3^(2*n+1))/17: n in [0..50]]; // Vincenzo Librandi, Dec 27 2010

Mathematica

Table[(14^(2n+1)+3^(2n+1))/17,{n,0,20}] (* or *) LinearRecurrence[ {205,-1764},{1,163},20] (* Harvey P. Dale, Jul 19 2013 *)

Formula

a(n+1) = 9*a(n) + 11*14^(2*n+1), a(0) = 1.

O.g.f.: (14/(1-196x) + 3/(1-9x))/17. - R. J. Mathar, Mar 07 2008

a(n) = 205*a(n-1) - 1764*a(n-2), with a(0)=1, a(1)=163. - Harvey P. Dale, Jul 19 2013