A105622 Row sums of triangle A105620.

1, 0, -3, -16, -104, -908, -9980, -130756, -1978044, -33864628, -646882700, -13637768276, -314550050684, -7879500818548, -213050486593260, -6184793428783156, -191870459680722524, -6335136849263878868, -221817478808912340620, -8209644712019737332436

Offset: 0

Author

Paul D. Hanna, Apr 16 2005

Keywords

• sign

Comments

A105620 is the matrix inverse square-root of triangle A105615.

Crossrefs

Cf. A105615, A105620.

Programs

PARI

{a(n)=local(R,M=matrix(n+3,n+3,m,j,if(m>=j,if(m==j,1,if(m==j+1,-2*j, polcoeff(1/sum(i=0,m-j,(2*i)!/i!/2^i*x^i)+O(x^m),m-j)))))); R=(M+M^0)/2;for(i=1,floor(2*log(n+2)),R=(R+M*R^(-1))/2); return(if(n<0,0,sum(k=0,n,R[n+1,k+1])))}