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1, 2, 9, 44, 225, 1182, 6321, 34232, 187137, 1030490, 5707449, 31760676, 177435297, 994551222, 5590402785, 31500824304, 177880832001, 1006362234162, 5703029112297, 32367243171740, 183945502869345, 1046646207221582
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OFFSET
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0,2
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COMMENTS
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Central coefficients T(2n,n) of the Riordan array ((1-x)/(1-2x),x(1-x)/(1-2x)), A105306.
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LINKS
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Table of n, a(n) for n=0..21.
V. V. Kruchinin and D. V. Kruchinin, A Method for Obtaining Generating Function for Central Coefficients of Triangles, arXiv preprint arXiv:1206.0877, 2012. - From N. J. A. Sloane, Oct 28 2012
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FORMULA
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E.g.f.: exp(3x)*Bessel_I(1,2*sqrt(2)x)/sqrt(2) +int(exp(3x)*Bessel_I(1,2*sqrt(2)x)/(sqrt(2)*x),x).
G.f.: 1/4 - (x-3)/(4*sqrt(x^2-6*x+1)). - Dmitry Kruchinin, Aug 31 2012
Conjecture: n*(n-1)*a(n) -3*(2*n-1)*(n-1)*a(n-1) +n*(n-2)*a(n-2)=0. - R. J. Mathar, Dec 03 2014
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CROSSREFS
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Sequence in context: A013981 A216861 A199308 * A162356 A026302 A214460
Adjacent sequences: A176476 A176477 A176478 * A176480 A176481 A176482
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry, Apr 18 2010
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STATUS
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approved
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