A111542 Column 1 of triangle A111541, which is the matrix logarithm of A111536.

0, 2, 5, 22, 128, 896, 7220, 65336, 653720, 7155104, 84998768, 1089232160, 14981704736, 220233312896, 3447195190592, 57261708795776, 1006401042534272, 18663532970127872, 364283224523605760, 7466218532765196800

Offset: 0

Author

Paul D. Hanna, Aug 06 2005

Keywords

• nonn

Comments

Column 0 of triangle A111541 is A111536.

Crossrefs

Cf. A111541 (triangle), A111538 (column 0), A111543 (column 2), A111536.

Programs

PARI

{a(n)=local(M=matrix(n+2,n+2,m,j,if(m==j,1,if(m==j+1,-m+1, -(m-j-1)*polcoeff(log(sum(i=0,m,(i+1)!/1!*x^i)),m-j-1))))); if(n<0,0,sum(i=1,#M,(M^0-M)^i/i)[n+2,2])}