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A103460 a(n) = 9^n + 1 - 0^n. 1
1, 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)
OFFSET
0,2
COMMENTS
a(n)^3 is palindromic in base 9 (1_9, 1331_9, 1030301_9, 1003003001_9, ...).
LINKS
Patrick De Geest, World!Of Numbers
FORMULA
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.
a(n) = A062396(n), n > 0. - R. J. Mathar, Aug 28 2008
a(n) = 9*a(n-1) - 8, with a(1)=10. - Vincenzo Librandi, Dec 29 2010
E.g.f.: -1 + exp(x) + exp(9*x). - G. C. Greubel, Jun 26 2021
MATHEMATICA
Table[9^n + 1 - Boole[n==0], {n, 0, 40}] (* G. C. Greubel, Jun 26 2021 *)
PROG
(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
CROSSREFS
Sequence in context: A238276 A287825 A199701 * A339689 A238843 A360698
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Feb 07 2005
STATUS
approved

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Last modified March 29 03:39 EDT 2024. Contains 371264 sequences. (Running on oeis4.)