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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 (list; table; graph; refs; listen; history; text; internal format)
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: 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

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Last modified January 18 11:14 EST 2019. Contains 319271 sequences. (Running on oeis4.)