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 A104625 Expansion of 1/(sqrt(1-4x)-x^2). 2
 1, 2, 7, 24, 87, 322, 1211, 4604, 17645, 68042, 263655, 1025632, 4002601, 15662422, 61427543, 241386924, 950160607, 3745589510, 14784496003, 58424093536, 231112008371, 915065382154, 3626113490579, 14379912928572, 57064644495359 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Diagonal sums of convolution triangle of central binomial coefficients A054335. Number of lattice paths from (0,0) to (n,n) with steps (0,1), (1,0) and, when on the diagonal, (2,2). - Alois P. Heinz, Sep 14 2016 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1000 FORMULA Conjecture: n*a(n) +(n-3)*a(n-1) +2*(-28*n+51)*a(n-2) +72*(2*n-5)*a(n-3) -n*a(n-4) +(-5*n+3)*a(n-5) +18*(2*n-5)*a(n-6)=0. - R. J. Mathar, Feb 20 2015 CROSSREFS Cf. A000984, A026671, A054335. Sequence in context: A183876 A227824 A270490 * A221454 A151293 A122446 Adjacent sequences:  A104622 A104623 A104624 * A104626 A104627 A104628 KEYWORD easy,nonn AUTHOR Paul Barry, Mar 17 2005 STATUS approved

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