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 A167033 a(n) = 20*a(n-1) - 64*a(n-2) + 3 for n > 1; a(0) = 1, a(1) = 22. 5
 1, 22, 379, 6175, 99247, 1589743, 25443055, 407117551, 6513995503, 104224386799, 1667592023791, 26681479720687, 426903704891119, 6830459395698415, 109287350800936687, 1748597614694035183, 27977561842620755695 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS lim_{n -> infinity} a(n)/a(n-1) = 16. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Index entries for linear recurrences with constant coefficients, signature (21,-84,64). FORMULA a(n) = (91*16^n - 35*4^n + 4)/60. G.f.: (1+x+x^2)/((1-x)*(1-4*x)*(1-16*x)). From G. C. Greubel, May 30 2016: (Start) a(n) = 21*a(n-1) - 84*a(n-2) + 64*a(n-3). E.g.f.: (1/60)*(91*exp(16*x) - 35*exp(4*x) + 4*exp(x)). (End) MATHEMATICA LinearRecurrence[{21, -84, 64}, {1, 22, 379}, 50] (* G. C. Greubel, May 30 2016 *) PROG (Magma) [ n le 2 select 21*n-20 else 20*Self(n-1)-64*Self(n-2)+3: n in [1..17] ]; CROSSREFS Cf. A166915, A166916, A006105, A167031, A167032. Sequence in context: A167121 A167122 A132167 * A222886 A264464 A268947 Adjacent sequences: A167030 A167031 A167032 * A167034 A167035 A167036 KEYWORD nonn AUTHOR Klaus Brockhaus, Oct 27 2009 STATUS approved

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Last modified July 22 14:00 EDT 2024. Contains 374499 sequences. (Running on oeis4.)