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A065747 Triangle of Gandhi polynomial coefficients. 2
1, 1, 3, 3, 7, 30, 51, 42, 15, 145, 753, 1656, 1995, 1410, 567, 105, 6631, 39048, 100704, 149394, 140475, 86562, 34566, 8316, 945, 566641, 3656439, 10546413, 17972598, 20133921, 15581349, 8493555, 3246642, 841239, 135135, 10395 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

First column is A064624.

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^3 (B(X+1, n-1) - B(X, n-1)), B(X, 1) = X^3; then the (i, j)-th entry is the table is the coefficient of X^(2+j) in B(X, i).

EXAMPLE

Triangle starts

1;

1, 3, 3;

7, 30, 51, 42, 15;

145, 753, 1656, 1995, 1410, 567, 105;

6631 ...

CROSSREFS

Cf. A036970, A064624, A065748

Sequence in context: A333924 A173321 A191498 * A232309 A273043 A066142

Adjacent sequences:  A065744 A065745 A065746 * A065748 A065749 A065750

KEYWORD

easy,nonn,tabf

AUTHOR

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

STATUS

approved

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Last modified August 4 21:32 EDT 2021. Contains 346455 sequences. (Running on oeis4.)