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 A080925 Binomial transform of Jacobsthal gap sequence (A080924). 6
 0, 1, 5, 13, 41, 121, 365, 1093, 3281, 9841, 29525, 88573, 265721, 797161, 2391485, 7174453, 21523361, 64570081, 193710245, 581130733, 1743392201, 5230176601, 15690529805, 47071589413, 141214768241, 423644304721, 1270932914165 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..300 Index entries for linear recurrences with constant coefficients, signature (2,3). FORMULA a(n)=Sum{k=1..n, Binomial(n, 2k-2)2^(2k-2)} a(n)=(3^n-2*0^n+(-1)^n)/2; G.f.: x(1+3x)/((1+x)(1-3x)); E.g.f.: (exp(3x)-2exp(0)+exp(-x))/2. - Paul Barry, May 19 2003 MATHEMATICA CoefficientList[Series[x (1 + 3 x) / ((1 + x) (1 - 3 x)), {x, 0, 40}], x] (* Vincenzo Librandi, Aug 05 2013 *) CROSSREFS Cf. A046717, A080926. Sequence in context: A229747 A182300 A046717 * A164907 A085601 A147718 Adjacent sequences:  A080922 A080923 A080924 * A080926 A080927 A080928 KEYWORD easy,nonn AUTHOR Paul Barry, Feb 26 2003 STATUS approved

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Last modified October 15 18:26 EDT 2019. Contains 328037 sequences. (Running on oeis4.)