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A036970 Triangle of coefficients of Gandhi polynomials. +0
8
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)
OFFSET

1,3

COMMENT

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

REFERENCES

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.

LINKS

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

FORMULA

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

EXAMPLE

1; 1,2; 3,8,6; 17,54,60,24; ...

CROSSREFS

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

KEYWORD

tabl,nonn,easy

AUTHOR

njas

EXTENSIONS

More terms from David W. Wilson (davidwwilson(AT)comcast.net), Jan 12 2001

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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