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Search: id:A046802
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| A046802 |
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Triangle of numbers related to Eulerian numbers. |
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+0
4
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| 1, 1, 1, 1, 3, 1, 1, 7, 7, 1, 1, 15, 33, 15, 1, 1, 31, 131, 131, 31, 1, 1, 63, 473, 883, 473, 63, 1, 1, 127, 1611, 5111, 5111, 1611, 127, 1, 1, 255, 5281, 26799, 44929, 26799, 5281, 255, 1, 1, 511, 16867, 131275, 344551, 344551, 131275, 16867, 511, 1, 1, 1023, 52905
(list; table; graph; listen)
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OFFSET
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1,5
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REFERENCES
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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
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a(m, n) = Sum C(m-1, n-1)*L(m-r, n-1), L = Eulerian numbers.
E.g.f.: (y-1)*exp(x*y)/(y-exp((y-1)*x)). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Sep 20 2003
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EXAMPLE
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1; 1 1; 1 3 1; 1 7 7 1; ...
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CROSSREFS
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Cf. A008292. Row sums give A000522.
Sequence in context: A063394 A108470 A136126 this_sequence A022166 A058669 A057004
Adjacent sequences: A046799 A046800 A046801 this_sequence A046803 A046804 A046805
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KEYWORD
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nonn,tabl,easy,nice
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AUTHOR
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njas
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), Sep 20 2003
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