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 A218752 a(n) = (50^n-1)/49. 6
 0, 1, 51, 2551, 127551, 6377551, 318877551, 15943877551, 797193877551, 39859693877551, 1992984693877551, 99649234693877551, 4982461734693877551, 249123086734693877551, 12456154336734693877551, 622807716836734693877551 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Partial sums of powers of 50 (A165800). Converges in a 10-adic sense to ...734693877551. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..600 Index entries for linear recurrences with constant coefficients, signature (51,-50) FORMULA a(n) = floor( 50^n/49 ). G.f.: x/((1-x)(1-50x)). a(0)=0, a(n) = 50*a(n-1) + 1. - Vincenzo Librandi, Nov 08 2012 MATHEMATICA LinearRecurrence[{51, -50}, {0, 1}, 30] (* Vincenzo Librandi, Nov 08 2012 *) PROG (PARI) a(n)=50^n\49 (Maxima) makelist(floor(50^n/49), n, 0, 30); /* Martin Ettl, Nov 06 2012 */; (MAGMA) [n le 2 select n-1 else 51*Self(n-1) - 50*Self(n-2): n in [1..20]]; // Vincenzo Librandi, Nov 08 2012 CROSSREFS Cf. similar sequences of the form (k^n-1)/(k-1) listed in A269025. Sequence in context: A231660 A210177 A210080 * A097836 A267786 A267733 Adjacent sequences:  A218749 A218750 A218751 * A218753 A218754 A218755 KEYWORD nonn,easy AUTHOR M. F. Hasler, Nov 04 2012 STATUS approved

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Last modified June 24 07:56 EDT 2021. Contains 345416 sequences. (Running on oeis4.)