%I
%S 1,2,2,6,12,2,20,60,20,4,70,280,140,56,10,252,1260,840,504,180,
%T 28,924,5544,4620,3696,1980,616,84,3432,24024,24024,24024,17160,
%U 8008,2184,264,12870,102960,120120,144144,128700,80080,32760,7920
%N Triangle of coefficients of nth degree interpolating polynomial to sqrt(x) multiplied by 4^n.
%D P. J. Davis, Interpolation and Approximation, Dover Publications, 1975, p. 93.
%e a(0)=1, a(1)=2+2x, a(2)=6+12x2x^2, ... approach 4^n*sqrt(x) near x=1.
%o (PARI) T(n,k)=polcoeff((4^n)*sum(k=1,n,(1x)^k*(2*k2)!/(k1)!/k!/2^(2*k1),1),k)
%K tabl,sign
%O 0,2
%A _Michael Somos_, Feb 04 2004
