%I #10 Feb 08 2022 22:05:55
%S 1,5,19,63,157,321,575,939,1433,2077,2891,3895,5109,6553,8247,10211,
%T 12465,15029,17923,21167,24781,28785,33199,38043,43337,49101,55355,
%U 62119,69413,77257,85671,94675,104289,114533,125427,136991,149245
%N Binomial transform of [1, 4, 10, 20, 0, 0, 0, ...].
%F Binomial transform of [1, 4, 10, 20, 0, 0, 0, ...], where (1, 4, 10, 20) = row 3 of triangle A046899
%F a(n) = (-39 + 77*n - 45*n^2 + 10*n^3)/3. - _T. D. Noe_, Aug 22 2008
%F G.f.: x*(1+x+5*x^2+13*x^3)/(1-x)^4. - _Colin Barker_, Mar 23 2012
%e a(4) = 63 = (1, 3, 3, 1) dot (1, 4, 10, 20) = (1 + 12 + 30 + 20).
%Y Cf. A046899.
%K nonn,easy
%O 1,2
%A _Gary W. Adamson_, Jul 27 2008
%E More terms from _T. D. Noe_, Aug 22 2008