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A046803
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Triangle of numbers related to Eulerian numbers.
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0
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1, 1, 2, 1, 6, 3, 1, 14, 22, 4, 1, 30, 105, 65, 5, 1, 62, 416, 581, 171, 6, 1, 126, 1491, 3920, 2695, 420, 7, 1, 254, 5034, 22506, 29310, 11180, 988, 8, 1, 510, 16365, 116667, 256317, 188361, 43041, 2259, 9, 1, 1022, 51892, 564667, 1945297, 2419897, 1090135
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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REFERENCES
| D. Singh, The numbers L(m,n) and their relations with prepared Bernoulli and Eulerian numbers, Math. Student, 20 (1952), 66-70.
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FORMULA
| a(m, n) = Sum C(m, n)*L(m-r, n-1), L = Eulerian numbers.
E.g.f.: exp(x*y)*(exp(x)-1)*(y-1)/(y*exp(x)-exp(x*y)). - Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 20 2003
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EXAMPLE
| 1; 1 2; 1 6 3; 1 14 22 4; ...
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CROSSREFS
| Cf. A008292, A046802. Row sums give A002627.
Sequence in context: A132813 A034898 A059300 * A121468 A168151 A180281
Adjacent sequences: A046800 A046801 A046802 * A046804 A046805 A046806
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KEYWORD
| nonn,tabl,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 20 2003
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