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A065748 Triangle of Gandhi polynomial coefficients. 3
1, 1, 4, 6, 4, 15, 88, 220, 304, 250, 120, 28, 1025, 7308, 23234, 43420, 52880, 43880, 25088, 9680, 2340, 280, 209135, 1691024, 6237520, 13911400, 20956610, 22549360, 17853780, 10541440, 4639740, 1498280, 341000, 49920, 3640, 100482849 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

First column is A064625.

LINKS

Table of n, a(n) for n=1..36.

Michael Domaratzki, Combinatorial Interpretations of a Generalization of the Genocchi Numbers, Journal of Integer Sequences, Vol. 7 (2004), Article 04.3.6.

D. Dumont, Sur une conjecture de Gandhi concernant les nombres de Genocchi, (in French), Discrete Mathematics 1 (1972) 321-327.

D. Dumont, Interpr├ętations combinatoires des nombres de Genocchi, Duke Math. J., 41 (1974), 305-318.

D. Dumont, Interpr├ętations combinatoires des nombres de Genocchi, Duke Math. J., 41 (1974), 305-318. (Annotated scanned copy)

FORMULA

Let B(X, n) = X^4 (B(X+1, n-1) - B(X, n-1)), B(X, 1) = X^4; then the (i, j)-th entry in the table is the coefficient of X^(5+j) in B(X, i).

EXAMPLE

Triangle starts

1;

1,4,6,4;

15,88,220,304,250,120,28;

1025,...

CROSSREFS

Cf. A064625, A036970

Sequence in context: A019190 A143174 A032241 * A019077 A019245 A019191

Adjacent sequences:  A065745 A065746 A065747 * A065749 A065750 A065751

KEYWORD

easy,nonn,tabf

AUTHOR

Mike Domaratzki (mdomaratzki(AT)alumni.uwaterloo.ca), Nov 16 2001

STATUS

approved

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Last modified June 19 10:32 EDT 2019. Contains 324219 sequences. (Running on oeis4.)