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A074622 a(n) = 7^n + 8^n. 3

%I #18 Jun 08 2022 18:55:59

%S 2,15,113,855,6497,49575,379793,2920695,22542017,174571335,1356217073,

%T 10567261335,82560763937,646644824295,5076269583953,39931933598775,

%U 314707907280257,2484430327672455,19642812107392433,155514083261229015

%N a(n) = 7^n + 8^n.

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (15,-56).

%F From _Mohammad K. Azarian_, Jan 11 2009: (Start)

%F G.f.: 1/(1-7*x) + 1/(1-8*x).

%F E.g.f.: e^(7*x) + e^(8*x). (End)

%F a(n) = 15*a(n-1) - 56*a(n-2) with a(0)=2, a(1)=15. - _Vincenzo Librandi_, Jul 21 2010

%t Table[7^n + 8^n, {n, 0, 20}]

%t LinearRecurrence[{15,-56},{2,15},20] (* _Harvey P. Dale_, Jun 08 2022 *)

%Y Cf. A000051, A034472, A052539, A034474, A062394, A034491, A062395, A062396, A007689, A063376, A063481, A074600..A074624.

%K easy,nonn

%O 0,1

%A _Robert G. Wilson v_, Aug 26 2002

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Last modified March 19 06:56 EDT 2024. Contains 370953 sequences. (Running on oeis4.)