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A062396 9^n + 1. +0
38
2, 10, 82, 730, 6562, 59050, 531442, 4782970, 43046722, 387420490, 3486784402, 31381059610, 282429536482, 2541865828330, 22876792454962, 205891132094650, 1853020188851842, 16677181699666570, 150094635296999122 (list; graph; listen)
OFFSET

0,1

LINKS

Index entries for sequences related to linear recurrences with constant coefficients

FORMULA

a(n) = 9a(n-1)-8 = A001019(n)+1 = 10a(n-1) - 9a(n-2).

G.f.: 1/(1-x)+1/(1-9*x). E.g.f.: e^x+e^(9*x). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 02 2009]

MAPLE

seq(fibonacci(3, 3^i), i=0..18); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 26 2006

MATHEMATICA

Table[9^n + 1, {n, 0, 20}]

CROSSREFS

Cf. A054977, A007395, A000051, A034472, A052539, A034474, A062394, A034491, A062395, A062396, A062397, A007689, A063376, A063481, A074600 - A074624, A034524 for numbers one more than powers.

Sequence in context: A064312 A063902 A088351 this_sequence A112487 A089469 A111265

Adjacent sequences: A062393 A062394 A062395 this_sequence A062397 A062398 A062399

KEYWORD

easy,nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Jun 22 2001

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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