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 A054114 T(2n+1,n), array T as in A054110. 1
 1, 8, 28, 98, 350, 1274, 4706, 17576, 66196, 250952, 956384, 3660540, 14061140, 54177740, 209295260, 810375650, 3143981870, 12219117170, 47564380970, 185410909790, 723668784230, 2827767747950, 11061198475550, 43308802158650, 169719408596402, 665637941544506 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Apart from the initial term, identical to A066796(n+1). LINKS Table of n, a(n) for n=0..25. FORMULA G.f.: (-1+3*x+5*x^2-4*x^3+sqrt(1-4*x))/(x*(1-x)*(1-4*x)). - Ralf Stephan, Apr 03 2004; corrected by Georg Fischer, Apr 09 2020 For n>0, a(n) = sum(k=1, n+1, C(2k, k)). - Ralf Stephan, Apr 03 2004 MATHEMATICA CoefficientList[Series[(-1+3*x+5*x^2-4*x^3+Sqrt[1-4*x])/(x*(1-x)(1-4*x)), {x, 0, 30}], x] (* Georg Fischer, Apr 09 2020 *) CROSSREFS Cf. A054110, A066796. Sequence in context: A211066 A095857 A184606 * A305907 A110687 A153365 Adjacent sequences: A054111 A054112 A054113 * A054115 A054116 A054117 KEYWORD nonn AUTHOR Clark Kimberling EXTENSIONS Corrected by Franklin T. Adams-Watters, Oct 25 2006 a(23)-a(25) corrected by Georg Fischer, Apr 09 2020 STATUS approved

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Last modified December 5 01:00 EST 2023. Contains 367565 sequences. (Running on oeis4.)