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Search: id:A008518
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| A008518 |
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Triangle of Eulerian numbers with rows multiplied by 1+x. |
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+0
3
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| 1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 12, 22, 12, 1, 1, 27, 92, 92, 27, 1, 1, 58, 359, 604, 359, 58, 1, 1, 121, 1311, 3607, 3607, 1311, 121, 1, 1, 248, 4540, 19912, 31238, 19912, 4540, 248, 1, 1, 503, 15110, 102842, 244424, 244424, 102842, 15110, 503, 1, 1, 1014
(list; table; graph; listen)
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OFFSET
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0,5
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REFERENCES
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L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 243.
R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, Reading, MA, 1990, p. 254.
J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 215.
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FORMULA
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E.g.f.: (exp(x)-y*exp(y*x))/(exp(y*x)-y*exp(x)).
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CROSSREFS
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Cf. A008292.
Columns include A000325. Row sums are in A098558.
Sequence in context: A050145 A058676 A128564 this_sequence A139332 A099927 A128612
Adjacent sequences: A008515 A008516 A008517 this_sequence A008519 A008520 A008521
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KEYWORD
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nonn,tabl
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AUTHOR
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njas
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EXTENSIONS
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G.f. and more terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), Apr 06 2001
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