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 A098406 a(n) = (10^n + 17)/9. 3
 2, 3, 13, 113, 1113, 11113, 111113, 1111113, 11111113, 111111113, 1111111113, 11111111113, 111111111113, 1111111111113, 11111111111113, 111111111111113, 1111111111111113, 11111111111111113, 111111111111111113 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS A097683 gives numbers k such that a(k) is prime. a(n) = A047855(n)+1 = A002275(n)+2. LINKS Ivan Panchenko, Table of n, a(n) for n = 0..200 Index entries for linear recurrences with constant coefficients, signature (11,-10). FORMULA a(1) = 3; a(n) = a(n-1)+10^(n-1). a(1) = 3; a(n) = 10*a(n-1)-17. G.f.: ( 2-19*x ) / ( (10*x-1)*(x-1) ). - R. J. Mathar, Jan 27 2017 EXAMPLE a(5) = (100000+17)/9 = 11113. MATHEMATICA FromDigits/@Table[PadLeft[{3}, n, 1], {n, 20}] (* Harvey P. Dale, Jun 18 2011 *) PROG (PARI) for(n=1, 18, print1(((10^n)+17)/9, ", ")) CROSSREFS Cf. A097683, A047855, A002275. Sequence in context: A068096 A098462 A125283 * A280012 A224792 A062447 Adjacent sequences: A098403 A098404 A098405 * A098407 A098408 A098409 KEYWORD nonn,easy AUTHOR Klaus Brockhaus, Sep 07 2004 EXTENSIONS a(0) from Ivan Panchenko, Nov 02 2013 STATUS approved

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Last modified December 2 01:41 EST 2023. Contains 367505 sequences. (Running on oeis4.)