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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, 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^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 * A363398 A232309 A273043 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 September 11 17:54 EDT 2024. Contains 375839 sequences. (Running on oeis4.)