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A103460
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a(n) = 9^n + 1 - 0^n.
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1
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1, 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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0,2
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COMMENTS
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a(n)^3 is palindromic in base 9 (1_9, 1331_9, 1030301_9, 1003003001_9, ...).
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LINKS
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FORMULA
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G.f.: (1-9*x^2)/((1-x)*(1-9*x)).
a(n) = Sum_{k=0..n} binomial(n, k)*0^(k*(n-k))*9^k.
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MATHEMATICA
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Table[9^n + 1 - Boole[n==0], {n, 0, 40}] (* G. C. Greubel, Jun 26 2021 *)
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PROG
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(Magma) [1] cat [9^n +1: n in [1..40]]; // G. C. Greubel, Jun 26 2021
(Sage) [1]+[9^n +1 for n in (1..40)] # G. C. Greubel, Jun 26 2021
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CROSSREFS
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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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