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 A178906 a(n) = 111*a(n-1) - 100*a(n-2) with a(0)=0 and a(1)=1. 0
 0, 1, 111, 12221, 1345431, 148120741, 16306859151, 1795249291661, 197641985459271, 21758735456812981, 2395455437160313791, 263719679979113532701, 29033338933965570750711, 3196328653672267000058821, 351889146664225079931458031, 38740062414361757172385959341, 4264958013327732538141695683751 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Generalization of A001906. LINKS Table of n, a(n) for n=0..16. Index entries for linear recurrences with constant coefficients, signature (111,-100). FORMULA a(n) = (1/11921)*sqrt(11921)*(((1/2)*(111+sqrt(11921)))^n - ((1/2)*(111-sqrt(11921)))^n), with n >= 0. - Paolo P. Lava, Aug 26 2010 G.f.: x / ( 1 - 111*x + 100*x^2 ). - R. J. Mathar, Aug 24 2011 MATHEMATICA Transpose[NestList[{#[[2]], 111#[[2]]-100#[[1]]}&, {0, 1}, 15]][[2]] (* Harvey P. Dale, Jan 27 2011 *) CROSSREFS Cf. A001906, A059317. Sequence in context: A078270 A298677 A172175 * A225374 A015262 A201430 Adjacent sequences: A178903 A178904 A178905 * A178907 A178908 A178909 KEYWORD nonn,easy AUTHOR Mark Dols, Jun 22 2010 EXTENSIONS Corrected and extended by Harvey P. Dale, Jan 27 2011 STATUS approved

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Last modified December 2 20:20 EST 2023. Contains 367526 sequences. (Running on oeis4.)