A065748 Triangle of Gandhi polynomial coefficients.

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

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, Interprétations combinatoires des nombres de Genocchi, Duke Math. J., 41 (1974), 305-318.

D. Dumont, Interprétations 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 * A346006 A019077 A019245

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