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A065756
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Generalization of the Genocchi numbers given by the Gandhi polynomials A(n+1,r) = r^5 A(n, r + 1) - (r - 1)^5 A(n, r); A(1,r) = r^5 - (r-1)^5.
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2
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1, 1, 31, 6721, 5850271, 15060446401, 94396946822431, 1258620297379341121, 32323181593821704288671, 1481630482369728860007652801, 114129022540066183425609121804831
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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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.
M. Domaratzki, A Generalization of the Genocchi Numbers with Applications to Enumeration of Finite Automata, Technical Report 2001-449, Department of Computing and Information Science, Queen's University at Kingston (Kingston, Canada).
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LINKS
| M. Domaratzki, A Generalization of the Genocchi Numbers with Applications to ...
Michael Domaratzki, Combinatorial Interpretations of a Generalization of the Genocchi Numbers, Journal of Integer Sequences, Vol. 7 (2004), Article 04.3.6.
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FORMULA
| a(n) = A(n-1, 1) for the above Gandhi polynomials.
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CROSSREFS
| Cf. A001469, A065755, A065757, A064624, A064625.
Sequence in context: A115736 A110848 A090681 * A059384 A136676 A135811
Adjacent sequences: A065753 A065754 A065755 * A065757 A065758 A065759
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KEYWORD
| easy,nonn
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AUTHOR
| Mike Domaratzki (mdomaratzki(AT)alumni.uwaterloo.ca), Nov 17 2001
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