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%I #10 Jan 30 2020 21:29:15
%S 1,3,12,57,283,1440,7461,39159,207492,1107549,5946543,32080032,
%T 173748913,944185827,5145534876,28110823401,153904324315,844210620000,
%U 4638535417701,25524848838951,140647394816532,775943203532733
%N A Chebyshev transform of the central Delannoy numbers.
%C Image of 1/sqrt(1-6x+x^2) under the mapping that takes g(x) to (1/(1+x^2))g(x/(1+x^2)).
%F G.f.: 1/sqrt(1-6x+3x^2-6x^3+x^4); a(n)=sum{k=0..n, binomial(n-k, k)(-1)^k*A001850(n-2k)}.
%F D-finite with recurrence: n*a(n) +3*(-2*n+1)*a(n-1) +3*(n-1)*a(n-2) +3*(-2*n+3)*a(n-3) +(n-2)*a(n-4)=0. - _R. J. Mathar_, Feb 20 2015
%K nonn
%O 0,2
%A _Paul Barry_, Dec 01 2004
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