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Search: id:A066667
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| A066667 |
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Coefficient triangle of generalized Laguerre polynomials (a=1). |
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+0
10
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| 1, 2, -1, 6, -6, 1, 24, -36, 12, -1, 120, -240, 120, -20, 1, 720, -1800, 1200, -300, 30, -1, 5040, -15120, 12600, -4200, 630, -42, 1, 40320, -141120, 141120, -58800, 11760, -1176, 56, -1, 362880, -1451520, 1693440, -846720, 211680, -28224, 2016
(list; table; graph; listen)
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OFFSET
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0,2
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REFERENCES
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 1972, p. 778 (22.5.17).
F. Bergeron, G. Labelle and P. Leroux, Combinatorial Species and Tree-Like Structures, Cambridge, 1998, p. 95 (4.1.62)
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LINKS
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 1972, p. 778 (22.5.17).
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FORMULA
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E.g.f. (relative to x) A(x)=(1/(1-x))^2*exp(x*y/(x-1)).
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EXAMPLE
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1; 2,-1; 6,-6,1; 24,-36,12,-1; 120,-240,120,-20,1; ... > A000226 < A029854 (167 of 179)
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CROSSREFS
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Same as A008297 (Lah triangle) except for signs. Cf. A021009, A062137-A062140.
Row sums give A066668. Unsigned row sums give A000262.
Sequence in context: A130561 A157400 A091599 this_sequence A105278 A008297 A048999
Adjacent sequences: A066664 A066665 A066666 this_sequence A066668 A066669 A066670
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KEYWORD
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sign,tabl
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AUTHOR
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Christian G. Bower (bowerc(AT)usa.net), Dec 17 2001
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