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A014784
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Triangle of numbers associated with Genocchi numbers.
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3
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1, 1, 1, 2, 3, 2, 7, 12, 12, 7, 38, 69, 81, 69, 38, 295, 552, 702, 702, 552, 295, 3098, 5901, 7857, 8559, 7857, 5901, 3098, 42271, 81444, 111618, 128034, 128034, 111618, 81444, 42271, 726734, 1411197, 1971945, 2339631, 2467665, 2339631, 1971945
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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REFERENCES
| G. Kreweras, Sur les permutations compte'es par les nombres de Genocchi..., Europ. J. Comb., vol. 18, pp. 49-58, 1997.
Kreweras, G.; and Dumont, D.; Sur les anagrammes alternes. Discrete Math. 211, No.1-3, 103-110 (2000). Zbl 0944.05003
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MATHEMATICA
| a[ 1, 1 ]=1; a[ n_, k_ ] := 0 /; (k>n || k<=0); a[ n_, 1 ]=Sum[ a[ n-1, i ], {i, 1, n-1} ] a[ n_, k_ ] := a[ n, k ]=2a[ n, k-1 ]-a[ n, k-2 ]-a[ n-1, k-1 ]-a[ n-1, k-2 ]; Flatten[ Table[ a[ n, i ], {n, 1, 10}, {i, 1, n} ] ]
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CROSSREFS
| Cf. A035003.
Columns include A000366 and A102078. Row sums are in A000366.
Sequence in context: A129022 A122076 A170842 * A048601 A008317 A139011
Adjacent sequences: A014781 A014782 A014783 * A014785 A014786 A014787
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KEYWORD
| tabl,nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Erich Friedman (erich.friedman(AT)stetson.edu).
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