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 A120655 Expansion of (1-x)*(1+8*x+60*x^2)/((1-2*x)*(1+2*x)*(1-4*x)). 2
 1, 11, 100, 368, 1696, 6656, 27520, 109568, 441856, 1765376, 7075840, 28295168, 113238016, 452919296, 1811906560, 7247495168, 28990898176, 115963068416, 463855943680, 1855421677568, 7421701390336, 29686797172736 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (4, 4, -16). FORMULA From Colin Barker, Oct 19 2012: (Start) a(n) = 3*(-2)^n - 5*2^n + 27*4^(n-1) for n>0. a(n) = 4*a(n-1) + 4*a(n-2) - 16*a(n-3) for n>3. G.f.: (1-x)*(1+8*x+60*x^2)/((1-2*x)*(1+2*x)*(1-4*x)). (End) MATHEMATICA LinearRecurrence[{4, 4, -16}, {1, 11, 100, 368}, 50] (* G. C. Greubel, Dec 20 2022 *) PROG (Magma) [1] cat [3*(-2)^n - 5*2^n + 27*4^(n-1): n in [1..40]]; // G. C. Greubel, Dec 20 2022 (SageMath) [3*(-2)^n - 5*2^n + 27*4^(n-1) - (15/4)*int(n==0) for n in range(41)] # G. C. Greubel, Dec 20 2022 CROSSREFS Cf. A105932, A105933. Sequence in context: A288440 A288047 A001738 * A018203 A081906 A098296 Adjacent sequences: A120652 A120653 A120654 * A120656 A120657 A120658 KEYWORD nonn,easy,less AUTHOR Roger L. Bagula, Aug 09 2006 EXTENSIONS Edited by G. C. Greubel, Dec 20 2022 Meaningful name using g.f. from Joerg Arndt, Dec 26 2022 STATUS approved

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Last modified August 7 03:39 EDT 2024. Contains 375008 sequences. (Running on oeis4.)