A105621 Column 2 of triangle A105620.

1, -3, -7, -39, -315, -3243, -40167, -579159, -9514395, -175345083, -3582404487, -80368306119, -1964266364475, -51955106653323, -1478719724319207, -45062796853058679, -1463985729352297755, -50509695778598958363, -1844377821680825976327

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,R[n+3,3]))}