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Search: id:A085707
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| 1, 1, 0, 1, 1, 0, 1, 3, 3, 0, 1, 6, 17, 17, 0, 1, 10, 55, 155, 155, 0, 1, 15, 135, 736, 2073, 2073, 0, 1, 21, 280, 2492, 13573, 38227, 38227, 0, 1, 28, 518, 6818, 60605, 330058, 929569, 929569, 0, 1, 36, 882, 16086, 211419, 1879038, 10233219, 28820619
(list; table; graph; listen)
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OFFSET
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0,8
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REFERENCES
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Louis Comtet, Analyse Combinatoire, PUF, 1970 Tome 2 pp. 98, 99
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FORMULA
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Sum(k>=0, (-1/2)^k*T(n, k)= (1/2)^n.
Sum(k>=0, (-1/6)^k*T(n, k)= (4^(n+1)- 1)/3*(6^n).
Equals A000035 DELTA [0, 1, 2, 4, 6, 9, 12, 16, 20, 25, 30, ...] where DELTA is Deleham's operator defined in A084938.
T(n,n-1)=A110501(n),Genocchi numbers of 1st kind of even index . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Feb 16 2007
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EXAMPLE
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1; 1,0; 1,1,0; 1,3,3,0; 1,6,17,17,0; ...
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CROSSREFS
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Row sums sum(k>=0, T(n, k)) = A006846(n), values of Hammersley's polynomial p_n(1).
Sum(k>=0, 2^k*T(n, k)) = A005647(n), Salie numbers.
Sum(k>=0, 3^k*T(n, k) = A094408.
Sum(k>=0, 4^k*T(n, k) = A000364(n), Euler numbers.
Cf. A006846, A005647, A000364, A065547, A000795.
Cf. A006846 A005647 A000364 A065547 A000795 A084938.
Sequence in context: A060523 A102752 A104548 this_sequence A010607 A118522 A098316
Adjacent sequences: A085704 A085705 A085706 this_sequence A085708 A085709 A085710
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KEYWORD
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nonn,tabl
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AUTHOR
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DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Jul 19 2003
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