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Search: id:A111559
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| 1, -1, 1, -4, -2, 1, -24, -4, -3, 1, -184, -24, -4, -4, 1, -1664, -184, -24, -4, -5, 1, -17024, -1664, -184, -24, -4, -6, 1, -192384, -17024, -1664, -184, -24, -4, -7, 1, -2366144, -192384, -17024, -1664, -184, -24, -4, -8, 1, -31362304, -2366144, -192384, -17024, -1664, -184, -24, -4, -9, 1
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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After initial terms, all columns are equal to -A111556.
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FORMULA
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T(n, n)=1 and T(n+1, n)=-n-1, else T(n+k+1, k) = -A111556(k) for k>=1.
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EXAMPLE
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Triangle begins:
1;
-1,1;
-4,-2,1;
-24,-4,-3,1;
-184,-24,-4,-4,1;
-1664,-184,-24,-4,-5,1;
-17024,-1664,-184,-24,-4,-6,1;
-192384,-17024,-1664,-184,-24,-4,-7,1; ...
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PROGRAM
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(PARI) {T(n, k)=if(n<k|k<0, 0, if(n==k, 1, if(n==k+1, -n, -(n-k-1)*polcoeff(log(sum(i=0, n-k, (i+3)!/3!*x^i)), n-k-1))))}
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CROSSREFS
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Cf. A111553, A111556, A104984, A111540, A111548.
Sequence in context: A109244 A039948 A111536 this_sequence A105623 A138271 A136212
Adjacent sequences: A111556 A111557 A111558 this_sequence A111560 A111561 A111562
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KEYWORD
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sign,tabl
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Aug 07 2005
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