A158837 - OEIS

%I #2 Mar 30 2012 18:37:16

%S 1,2,11,94,1072,15212,257777,5074738,113775490,2861365660,79763482974,

%T 2440866020252,81343355108428,2932370770780016,113695507437209845,

%U 4717853729131352186,208615291319607614600,9792578421235713418464

%N Column 1 of triangle A158835.

%C Triangle A158835 transforms diagonals in the array A158825 of coefficients of successive iterations of x*C(x) where C(x) is the Catalan function (A000108).

%o (PARI) {a(n)=local(F=x, CAT=serreverse(x-x^2+x*O(x^(n+3))),M,N,P);M=matrix(n+3, n+3, r, c, F=x; for(i=1, r+c-2, F=subst(F, x, CAT)); polcoeff(F, c)); N=matrix(n+2, n+2, r, c, M[r, c]); P=matrix(n+2, n+2, r, c, M[r+1, c]); (P~*N~^-1)[n+2,2]}

%Y Cf. A158835, A158836, A158838, A158839, A158840.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Mar 28 2009