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Search: id:A074601
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A074601 2^n + 6^n. +0
3
2, 8, 40, 224, 1312, 7808, 46720, 280064, 1679872, 10078208, 60467200, 362799104, 2176786432, 13060702208, 78364180480, 470185017344, 2821109972992, 16926659575808, 101559956930560, 609359740534784, 3656158441111552 (list; graph; listen)
OFFSET

0,1

FORMULA

a(n) = 6a(n-1)-2^n = 8a(n-1)- 12a(n-2).

G.f.: 1/(1-2*x)+1/(1-6*x). E.g.f.: e^(2*x)+e^(6*x). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 02 2009]

MATHEMATICA

Table[2^n + 6^n, {n, 0, 22}]

CROSSREFS

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

Sequence in context: A027282 A006195 A092807 this_sequence A052701 A151374 A085485

Adjacent sequences: A074598 A074599 A074600 this_sequence A074602 A074603 A074604

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 25 2002

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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