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 A166916 a(n) = 20*a(n-1) - 64*a(n-2) - 15 for n > 1; a(0) = 357, a(1) = 5525. 10
 357, 5525, 87637, 1399125, 22373717, 357930325, 5726688597, 91626231125, 1466016552277, 23456252253525, 375299985724757, 6004799570269525, 96076792319006037, 1537228673882871125, 24595658769241036117 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Related to Reverse and Add trajectory of 318 in base 4: A075153(6*n+4) = 30*a(n). lim_{n -> infinity} a(n)/a(n-1) = 16. LINKS G. C. Greubel, Table of n, a(n) for n = 0..500 Index entries for linear recurrences with constant coefficients, signature (21, -84, 64). FORMULA a(n) = (1024*16^n + 48*4^n - 1)/3. G.f.: (357 - 1972*x + 1600*x^2)/((1-x)*(1-4*x)*(1-16*x)). a(0)=357, a(1)=5525, a(2)=87637, a(n)=21*a(n-1)-84*a(n-2)+64*a(n-3). - Harvey P. Dale, Sep 24 2012 E.g.f.: (1/3)*(1024*exp(16*x) + 48*exp(4*x) - exp(x)). - G. C. Greubel, May 28 2016 MATHEMATICA LinearRecurrence[{21, -84, 64}, {357, 5525, 87637}, 20] (* Harvey P. Dale, Sep 24 2012 *) PROG (PARI) m=15; v=concat([357, 5525], vector(m-2)); for(n=3, m, v[n]=20*v[n-1]-64*v[n-2]-15); v CROSSREFS Cf. A075153, A166912, A166913, A166914, A166915, A166917, A006105, A167031, A167032, A167033. Sequence in context: A252806 A252027 A241931 * A166913 A224434 A278412 Adjacent sequences: A166913 A166914 A166915 * A166917 A166918 A166919 KEYWORD nonn,easy AUTHOR Klaus Brockhaus, Oct 27 2009 STATUS approved

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Last modified November 28 20:13 EST 2022. Contains 358421 sequences. (Running on oeis4.)