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2, 10, 82, 730, 6562, 59050, 531442, 4782970, 43046722, 387420490, 3486784402, 31381059610, 282429536482, 2541865828330, 22876792454962, 205891132094650, 1853020188851842, 16677181699666570, 150094635296999122
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (10,-9).
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FORMULA
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a(n) = 9*a(n-1)-8 = A001019(n)+1 = 10*a(n-1) - 9*a(n-2).
G.f.: 1/(1-x)+1/(1-9*x). E.g.f.: e^x+e^(9*x). [From Mohammad K. Azarian, Jan 02 2009]
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MATHEMATICA
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Table[9^n + 1, {n, 0, 20}]
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PROG
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(MAGMA) [9^n + 1: n in [0..35]]; // Vincenzo Librandi, Apr 30 2011
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CROSSREFS
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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: A063902 A088351 A174962 * A218294 A112487 A089469
Adjacent sequences: A062393 A062394 A062395 * A062397 A062398 A062399
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KEYWORD
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easy,nonn,changed
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AUTHOR
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Henry Bottomley, Jun 22 2001
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STATUS
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approved
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