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A111541
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Matrix logarithm of triangle A111536.
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6
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0, 1, 0, 3, 2, 0, 14, 5, 3, 0, 84, 22, 8, 4, 0, 600, 128, 36, 12, 5, 0, 4908, 896, 212, 58, 17, 6, 0, 44952, 7220, 1496, 360, 90, 23, 7, 0, 454344, 65336, 12128, 2652, 602, 134, 30, 8, 0, 5016768, 653720, 110288, 22320, 4736, 974, 192, 38, 9, 0, 60062352, 7155104
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OFFSET
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0,4
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COMMENTS
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Column 0 (A111538) is found in column 2 of triangle A111536.
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LINKS
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Table of n, a(n) for n=0..56.
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EXAMPLE
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Triangle begins:
0;
1,0;
3,2,0;
14,5,3,0;
84,22,8,4,0;
600,128,36,12,5,0;
4908,896,212,58,17,6,0;
44952,7220,1496,360,90,23,7,0;
454344,65336,12128,2652,602,134,30,8,0;
5016768,653720,110288,22320,4736,974,192,38,9,0; ...
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PROG
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(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+1)!/1!*x^i)), m-j-1))))); return(if(n<k || k<0, 0, sum(i=1, #M, (M^0-M)^i/i)[n+1, k+1]))
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CROSSREFS
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Cf. A111536, A111538 (column 0), A111542 (column 1), A111543 (column 2).
Sequence in context: A077907 A067346 A282423 * A244134 A105629 A085075
Adjacent sequences: A111538 A111539 A111540 * A111542 A111543 A111544
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KEYWORD
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nonn,tabl
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AUTHOR
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Paul D. Hanna, Aug 06 2005
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STATUS
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approved
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