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A111560
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Matrix logarithm of triangle A111553.
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4
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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
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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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; ...
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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]}
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CROSSREFS
| Cf. A111553, A111557, A104986, A111541, A111549.
Sequence in context: A021872 A021196 A058512 * A113103 A033325 A126690
Adjacent sequences: A111557 A111558 A111559 * A111561 A111562 A111563
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KEYWORD
| nonn,tabl
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Aug 07 2005
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