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Search: id:A104027
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| A104027 |
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Triangle, read by rows, equal to the matrix inverse of A056241, which is formed from the even-indexed trinomial coefficients. |
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+0
6
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| 1, -1, 1, 2, -3, 1, -7, 12, -6, 1, 41, -73, 41, -10, 1, -376, 675, -390, 105, -15, 1, 5033, -9048, 5256, -1446, 225, -21, 1, -92821, 166901, -97034, 26796, -4242, 427, -28, 1, 2257166, -4058703, 2359939, -652054, 103515, -10570, 742, -36, 1, -69981919, 125837748, -73169550, 20218251, -3210939
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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Column 0 forms signed Hammersley's polynomial p_n(1) (A006846). Column 1 forms A104028.
Triangle T(n,k), 0<=k<=n, read by rows, given by [ -1, -1, -3, -4, -7, -9, -13, -16, -21, ...] DELTA [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, ...] where DELTA is the operator defined in A084938; see A004652 : 0, 1, 1, 3, 4, 7, 9, 13, ... - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 26 2005
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EXAMPLE
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Rows begin:
1;
-1,1;
2,-3,1;
-7,12,-6,1;
41,-73,41,-10,1;
-376,675,-390,105,-15,1;
5033,-9048,5256,-1446,225,-21,1;
-92821,166901,-97034,26796,-4242,427,-28,1;
2257166,-4058703,2359939,-652054,103515,-10570,742,-36,1; ...
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PROGRAM
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(PARI) {T(n, k)=if(n<k|k<0, 0, ((matrix(n+2, n+2, m, j, if(m>=j, polcoeff((1+x+x^2)^(m-1)+O(x^(2*j)), 2*j-2))))^-1)[n+1, k+1])}
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CROSSREFS
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Cf. A056241, A104028, A027907.
Sequence in context: A050512 A107102 A103364 this_sequence A097710 A109198 A081320
Adjacent sequences: A104024 A104025 A104026 this_sequence A104028 A104029 A104030
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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), Feb 26 2005
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