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 A199493 2*8^n+1. 3
 3, 17, 129, 1025, 8193, 65537, 524289, 4194305, 33554433, 268435457, 2147483649, 17179869185, 137438953473, 1099511627777, 8796093022209, 70368744177665, 562949953421313, 4503599627370497, 36028797018963969 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS An Engel expansion of 4 to the base 8 as defined in A181565, with the associated series expansion 4 = 8/3 + 8^2/(3*17) + 8^3/(3*17*129) + 8^4/(3*17*129*1025) + .... Cf. A087289 and A199552. - Peter Bala, Oct 30 2013 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (9,-8). FORMULA a(n) = 8*a(n-1)-7. a(n) = 9*a(n-1)-8*a(n-2). G.f.: (3-10*x)/((1-x)*(1-8*x)). PROG (Magma) [2*8^n+1: n in [0..30]]; CROSSREFS A087289, A199552. Sequence in context: A093460 A187613 A179300 * A245059 A321587 A089815 Adjacent sequences: A199490 A199491 A199492 * A199494 A199495 A199496 KEYWORD nonn,easy AUTHOR Vincenzo Librandi, Nov 07 2011 STATUS approved

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Last modified May 25 03:39 EDT 2024. Contains 372782 sequences. (Running on oeis4.)