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Search: id:A036970
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| A036970 |
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Triangle of coefficients of Gandhi polynomials. |
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+0 8
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| 1, 1, 2, 3, 8, 6, 17, 54, 60, 24, 155, 556, 762, 480, 120, 2073, 8146, 12840, 10248, 4200, 720, 38227, 161424, 282078, 263040, 139440, 40320, 5040, 929569, 4163438, 7886580, 8240952, 5170800, 1965600, 423360, 40320, 28820619, 135634292
(list; table; graph; listen)
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OFFSET
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1,3
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COMMENT
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Another version of triangle T(n,k), 0<=k<=n, read by rows; given by [0, 1, 2, 4, 6, 9, 12, 16, 20, ...] DELTA [1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, ...] = 1; 0, 1; 0, 1, 2; 0, 3, 8, 6; 0, 17, 54, 60, 24; ... where DELTA is the operator defined in A084938 . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Jun 07 2004
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REFERENCES
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D. Dumont, Sur une conjecture de Gandhi concernant les nombers de Genocchi. Discrete Mathematics 1 (1972) 321-327.
D. Dumont, Interpretations combinatoires des nombres de Genocchi, Duke Math. J., 41 (1974), 305-318.
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LINKS
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Marc Joye, Pascal Paillier and Berry Schoenmakers, On Second-Order Differential Power Analysis, in Cryptographic Hardware and Embedded Systems-CHES 2005, editors: Josyula R. Rao and Berk Sunar, Lecture Notes in Computer Science 3659 (2005) 293-308, Springer-Verlag.
A. Randrianarivony and J. Zeng, Une famille des polynomes qui interpole plusieurs suites..., Adv. Appl. Math. 17 (1996), 1-26.
H.J.H. Tuenter, Walking into an absolute sum
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FORMULA
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Let B(X, n) = X^2 (B(X+1, n-1) - B(X, n-1)), B(X, 1) = X^2; then the (i, j)-th entry in the table is the coefficient of X^(1+j) in B(X, i). - Mike Domaratzki (mdomaratzki(AT)alumni.uwaterloo.ca), Nov 17 2001
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EXAMPLE
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1; 1,2; 3,8,6; 17,54,60,24; ...
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CROSSREFS
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First 2 columns are A001469, A005440, row sums are also A001469.
Sequence in context: A112977 A120390 A109230 this_sequence A110144 A100836 A100805
Adjacent sequences: A036967 A036968 A036969 this_sequence A036971 A036972 A036973
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KEYWORD
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tabl,nonn,easy
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AUTHOR
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njas
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EXTENSIONS
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More terms from David W. Wilson (davidwwilson(AT)comcast.net), Jan 12 2001
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