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A138200 a(n) = (14^(2*n+1) + 3^(2*n+1)) / 17. 1
1, 163, 31651, 6200923, 1215356851, 238209726283, 46689104402851, 9151064445421243, 1793608631144725651, 351547291702945685803, 68903269173764569541251, 13505040758057740566199963 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..11.

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

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

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 *)

PROG

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

CROSSREFS

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

Sequence in context: A217456 A138932 A217963 * A146504 A306501 A247269

Adjacent sequences:  A138197 A138198 A138199 * A138201 A138202 A138203

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Mar 05 2008

STATUS

approved

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Last modified March 30 09:49 EDT 2020. Contains 333125 sequences. (Running on oeis4.)