A074620 - OEIS

A074620

a(n) = 6^n + 8^n.

2, 14, 100, 728, 5392, 40544, 308800, 2377088, 18456832, 144295424, 1134208000, 8952731648, 70896259072, 562816507904, 4476410675200, 35654557073408, 284296086618112, 2268726473129984, 18115958466150400, 144724547815866368

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (14,-48).

FORMULA

From Mohammad K. Azarian, Jan 11 2009: (Start)

G.f.: 1/(1-6*x) + 1/(1-8*x).

E.g.f.: e^(6*x) + e^(8*x). (End)

a(n) = 14*a(n-1) - 48*a(n-2) with a(0)=2, a(1)=14. - Vincenzo Librandi, Jul 21 2010

MATHEMATICA

Table[6^n + 8^n, {n, 0, 20}]

LinearRecurrence[{14, -48}, {2, 14}, 30] (* Harvey P. Dale, Oct 07 2013 *)

CROSSREFS

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

Sequence in context: A158811 A198280 A360319 * A185010 A144277 A037726

Adjacent sequences: A074617 A074618 A074619 * A074621 A074622 A074623

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v, Aug 26 2002

STATUS

approved

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