A105631 Row sums of triangle A105629, which is the matrix logarithm of triangle A105623.

0, 1, 5, 27, 195, 1833, 21125, 286451, 4453859, 78031153, 1520668645, 32631020011, 764640901539, 19431070911513, 532315915981605, 15640217893829891, 490640673319698179, 16368499360721508833, 578693283962999831365

Offset

0,3

Comments

A105623 equals the matrix square-root of triangle A105615.

Links

Table of n, a(n) for n=0..18.

Prog

(PARI) {a(n)=local(L, M=matrix(n+1, n+1, 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)))))^-1); L=sum(i=1, #M, (-1)^(i-1)*(M-M^0)^i/i); return(if(n<0, 0, sum(k=0, n, L[n+1, k+1])/2))}

Crossrefs

Cf. A105629, A105623, A105615.

Sequence in context: A240637 A023811 A126119 * A167019 A356538 A342904

Adjacent sequences: A105628 A105629 A105630 * A105632 A105633 A105634

Keyword

nonn

Author

Paul D. Hanna, Apr 16 2005

Status

approved