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2, 13, 97, 793, 6817, 60073, 535537, 4799353, 43112257, 387682633, 3487832977, 31385253913, 282446313697, 2541932937193, 22877060890417, 205892205836473, 1853024483819137, 16677198879535753, 150094704016475857
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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FORMULA
| a(n) = 2^(2*n) + 3^(2*n).
G.f.: (2-13*x)/((1-4*x)*(1-9*x)).
E.g.f.: e^(4*x)+e^(10*x). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 11 2009]
a(n)=13*a(n-1)-36*a(n-2) with a(0)=2, a(1)=13 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jul 21 2010]
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MATHEMATICA
| Table[4^n + 9^n, {n, 0, 25}]
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CROSSREFS
| Cf. A000051, A034472, A052539, A034474, A062394, A034491, A062395, A062396, A007689, A063376, A063481, A074600 - A074624.
Bisection of A007689 (even indexed members). For odd indexed members divided by 5 see A096951.
Sequence in context: A140636 A104255 A118352 * A184019 A064325 A123619
Adjacent sequences: A074611 A074612 A074613 * A074615 A074616 A074617
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KEYWORD
| easy,nonn
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 26 2002
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