A105630 Column 0 of triangle A105629, which is the matrix logarithm of triangle A105623.

0, 1, 3, 17, 135, 1353, 16251, 226857, 3605775, 64288209, 1270969971, 27603549057, 653517822615, 16755529944729, 462601460800491, 13685474246611737, 431948067953729055, 14489465807596684449, 514794897939436455651

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, L[n+1, 1]/2))}

Crossrefs

Cf. A105629, A105623, A105615.

Sequence in context: A192459 A362748 A055214 * A199138 A006290 A060003

Adjacent sequences: A105627 A105628 A105629 * A105631 A105632 A105633

Keyword

nonn

Author

Paul D. Hanna, Apr 16 2005

Status

approved