%I
%S 1,8,49,272,1440,7428,37730,189808,948909,4724160,23453001,116207424,
%T 575036475,2842936320,14046869575,69378730880,342590699955,
%U 1691519468760,8351553940355,41235710124400,203617691311370,1005560117623204
%N a(n) = number of integer strings s(0),...,s(n) counted by array T in A026386 that have s(n)=4; also a(n) = T(2n,n2).
%C Binomial transform of A002694.  _Ross La Haye_, Mar 05 2005
%F Conjecture: (n+2)*a(n) +4*(3*n2)*a(n1) +2*(24*n19)*a(n2) +4*(18*n+43)*a(n3) +35*(n4)*a(n4)=0.  _R. J. Mathar_, May 29 2013
%K nonn
%O 2,2
%A _Clark Kimberling_
