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A062396
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a(n) = 9^n + 1.
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46
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2, 10, 82, 730, 6562, 59050, 531442, 4782970, 43046722, 387420490, 3486784402, 31381059610, 282429536482, 2541865828330, 22876792454962, 205891132094650, 1853020188851842, 16677181699666570, 150094635296999122
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OFFSET
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0,1
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LINKS
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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). (End)
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MATHEMATICA
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Table[9^n + 1, {n, 0, 20}]
LinearRecurrence[{10, -9}, {2, 10}, 20] (* Harvey P. Dale, May 30 2013 *)
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PROG
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CROSSREFS
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Cf. A054977, A007395, A000051, A034472, A052539, A034474, A062394, A034491, A062395, A062397, A007689, A063376, A063481, A074600-A074624, A034524, A178248, A228081 for numbers one more than powers.
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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