A111560 Matrix logarithm of triangle A111553.

0, 1, 0, 5, 2, 0, 34, 7, 3, 0, 282, 44, 10, 4, 0, 2696, 354, 60, 14, 5, 0, 28792, 3328, 470, 84, 19, 6, 0, 337072, 35144, 4344, 654, 118, 25, 7, 0, 4273632, 407984, 45320, 6008, 936, 164, 32, 8, 0, 58195072, 5137824, 521200, 62344, 8704, 1352, 224, 40, 9, 0

Offset

0,4

Links

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

Example

Triangle begins:
0;
1,0;
5,2,0;
34,7,3,0;
282,44,10,4,0;
2696,354,60,14,5,0;
28792,3328,470,84,19,6,0;
337072,35144,4344,654,118,25,7,0;
4273632,407984,45320,6008,936,164,32,8,0; ...

Prog

(PARI) {T(n, k)=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+3)!/3!*x^i)), m-j-1))))); sum(i=1, #M, (M^0-M)^i/i)[n+1, k+1]}

Crossrefs

Cf. A111553, A111557, A104986, A111541, A111549.

Sequence in context: A269980 A319231 A058512 * A371026 A324609 A211991

Adjacent sequences: A111557 A111558 A111559 * A111561 A111562 A111563

Keyword

nonn,tabl

Author

Paul D. Hanna, Aug 07 2005

Status

approved