

A111549


Matrix logarithm of triangle A111544.


5



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
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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, (mj1)*polcoeff(log(sum(i=0, m, (i+2)!/2!*x^i)), mj1))))); sum(i=1, #M, (M^0M)^i/i)[n+1, k+1]}


CROSSREFS

Cf. A111544, A111546, A111541.
Sequence in context: A118441 A244131 A206428 * A279411 A022696 A019155
Adjacent sequences: A111546 A111547 A111548 * A111550 A111551 A111552


KEYWORD

nonn,tabl


AUTHOR

Paul D. Hanna, Aug 07 2005


STATUS

approved



