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A083078 6th row of number array A083075. 3
1, 11, 141, 1831, 23801, 309411, 4022341, 52290431, 679775601, 8837082811, 114882076541, 1493466995031, 19415070935401, 252395922160211, 3281146988082741, 42654910845075631, 554513840985983201 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..900

Index entries for linear recurrences with constant coefficients, signature (14,-13).

FORMULA

a(n) = (5*13^n + 1)/6.

G.f.: (1-3*x)/((1-x)*(1-13*x)).

E.g.f.: (5*exp(13*x) + exp(x))/6.

a(n) = 13*a(n-1) - 2; a(n) = 14*a(n-1) - 13*a(n-2). - Vincenzo Librandi, Nov 11 2011

MATHEMATICA

LinearRecurrence[{14, -13}, {1, 11}, 30] (* Harvey P. Dale, Dec 27 2013 *)

CROSSREFS

Cf. A083077.

Sequence in context: A324084 A141907 A205084 * A048965 A218502 A293988

Adjacent sequences:  A083075 A083076 A083077 * A083079 A083080 A083081

KEYWORD

nonn,easy

AUTHOR

Paul Barry, Apr 23 2003

STATUS

approved

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Last modified August 5 22:11 EDT 2020. Contains 336214 sequences. (Running on oeis4.)