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Search: id:A065755
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| A065755 |
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Triangle of Gandhi polynomial coefficients. |
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+0
3
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| 1, 1, 5, 10, 10, 5, 31, 230, 755, 1440, 1760, 1430, 770, 260, 45, 6721, 60655, 250665, 628535, 1067865, 1299570, 1166945, 783720, 393855, 146025, 38500, 6630, 585, 5850271, 59885980, 285597890, 843288660, 1727996845, 2610132070, 3012643620
(list; table; graph; listen)
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OFFSET
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0,3
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COMMENT
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First column is A065756. Second column is A065757.
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LINKS
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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
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Let B(X, n) = X^5 (B(X+1, n-1) - B(X, n-1)), B(X, 1) = X^5; then the (i, j)-th entry in the table is the coefficient of X^(4+j) in B(X, i).
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EXAMPLE
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1; 1, 5, 10, 10, 5; 31, 230, 755, 1440, 1760, 1430, 770, 260, 45; 6721, ...
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CROSSREFS
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Cf. A065756, A065757, A065747, A065748, A036970.
Sequence in context: A063261 A131891 A062986 this_sequence A135912 A040020 A123337
Adjacent sequences: A065752 A065753 A065754 this_sequence A065756 A065757 A065758
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Mike Domaratzki (mdomaratzki(AT)alumni.uwaterloo.ca), Nov 17 2001
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