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 A093135 Expansion of (1-8*x)/((1-x)*(1-10*x)). 2
 1, 3, 23, 223, 2223, 22223, 222223, 2222223, 22222223, 222222223, 2222222223, 22222222223, 222222222223, 2222222222223, 22222222222223, 222222222222223, 2222222222222223, 22222222222222223, 222222222222222223 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Second binomial transform of 2*A001045(3n)/3+(-1)^n. Partial sums of A093136. A convex combination of 10^n and 1. In general the second binomial transform of k*Jacobsthal(3n)/3+(-1)^n is 1,1+k,1+11k,1+111k,... This is the case for k=2. Essentially the same as A091628 (cf. 2nd formula). - Georg Fischer, Oct 06 2018 a(n) is 3^n represented in bijective base-3 numeration. - Alois P. Heinz, Aug 26 2019 LINKS Wikipedia, Bijective numeration Index entries for linear recurrences with constant coefficients, signature (11,-10). FORMULA a(n) = 2*10^n/9 + 7/9. a(n) = 10*a(n-1) - 7 (with a(0)=1). - Vincenzo Librandi, Aug 02 2010 CROSSREFS Cf. A047855, A091628. Sequence in context: A114017 A316085 A068691 * A305754 A202997 A093162 Adjacent sequences:  A093132 A093133 A093134 * A093136 A093137 A093138 KEYWORD nonn,easy AUTHOR Paul Barry, Mar 24 2004 STATUS approved

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Last modified August 13 22:57 EDT 2020. Contains 336473 sequences. (Running on oeis4.)