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A198480 2*7^n - 1. 10
1, 13, 97, 685, 4801, 33613, 235297, 1647085, 11529601, 80707213, 564950497, 3954653485, 27682574401, 193778020813, 1356446145697, 9495123019885, 66465861139201, 465261027974413, 3256827195820897, 22797790370746285 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (8,-7).

FORMULA

a(n) = 7*a(n-1)+6, n>0.

G.f.: (1+5*x)/((1-x)*(1-7*x)). - Vincenzo Librandi, Jul 06 2012

a(n) = 8*a(n-1) -7*a(n-2). - Vincenzo Librandi, Jul 06 2012

MATHEMATICA

CoefficientList[Series[(1+5*x)/((1-x)*(1-7*x)), {x, 0, 40}], x] (* Vincenzo Librandi, Jul 06 2012 *)

PROG

(MAGMA) [2*7^n-1: n in [0..20]]

(PARI) a(n)=2*7^n-1 \\ Charles R Greathouse IV, Dec 28 2011

(Maxima) A198480(n):=2*7^n-1$ makelist(A198480(n), n, 0, 20); /* Martin Ettl, Nov 09 2012 */

CROSSREFS

Cf. A081655, A048473.

Sequence in context: A211388 A125350 A049294 * A126508 A228680 A158795

Adjacent sequences:  A198477 A198478 A198479 * A198481 A198482 A198483

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Oct 27 2011

STATUS

approved

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Last modified January 23 13:49 EST 2020. Contains 331171 sequences. (Running on oeis4.)