A111549 Matrix logarithm of triangle A111544.

0, 1, 0, 4, 2, 0, 23, 6, 3, 0, 165, 32, 9, 4, 0, 1383, 222, 47, 13, 5, 0, 13083, 1824, 321, 70, 18, 6, 0, 136863, 17016, 2607, 486, 103, 24, 7, 0, 1562715, 176112, 24099, 3990, 747, 148, 31, 8, 0, 19301319, 1993392, 247527, 37182, 6351, 1140, 207, 39, 9, 0

Offset

0,4

Comments

Column 0 (A111546) is found in column 3 of triangle A111544.

Links

Table of n, a(n) for n=0..54.

Formula

T(n+1, 0) = A111546(n) = A111544(n+3, 3).

Example

Triangle begins:
0;
1,0;
4,2,0;
23,6,3,0;
165,32,9,4,0;
1383,222,47,13,5,0;
13083,1824,321,70,18,6,0;
136863,17016,2607,486,103,24,7,0;
1562715,176112,24099,3990,747,148,31,8,0; ...

Prog

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

Crossrefs

Cf. A111544, A111546, A111541.

Sequence in context: A206428 A357012 A334778 * A279411 A022696 A371076

Adjacent sequences: A111546 A111547 A111548 * A111550 A111551 A111552

Keyword

nonn,tabl

Author

Paul D. Hanna, Aug 07 2005

Status

approved