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 A016185 a(n) = 9^n - 8^n. 18
 0, 1, 17, 217, 2465, 26281, 269297, 2685817, 26269505, 253202761, 2413042577, 22791125017, 213710059745, 1992110014441, 18478745943857, 170706760005817, 1571545212141185, 14425381885981321, 132080236787517137, 1206736529597136217, 11004743954450081825 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS John Elias, Illustration of initial terms: Sierpinski Carpet Wikipedia, Sierpinski carpet FORMULA G.f.: x/((1-8x)(1-9x)). E.g.f.: e^(9*x) - e^(8*x). - Mohammad K. Azarian, Jan 14 2009 a(n) = 9*a(n-1) + 8^(n-1), a(0)=0. - Vincenzo Librandi, Feb 09 2011 a(n) = 17*a(n-1) - 72*a(n-2), a(0)=0, a(1)=1. - Vincenzo Librandi, Feb 09 2011 a(n) = A001019(n) - A001018(n). - Alois P. Heinz, Aug 19 2021 MATHEMATICA Join[{a=0, b=1}, Table[c=17*b-72*a; a=b; b=c, {n, 40}]] (* Vladimir Joseph Stephan Orlovsky, Feb 09 2011 *) CROSSREFS Cf. A001018, A001019. Sequence in context: A009441 A016293 A139733 * A125452 A322538 A016238 Adjacent sequences: A016182 A016183 A016184 * A016186 A016187 A016188 KEYWORD nonn AUTHOR STATUS approved

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Last modified March 27 12:46 EDT 2023. Contains 361570 sequences. (Running on oeis4.)