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Search: id:A000906
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| A000906 |
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Exponential generating function: 2(1+3x)/(1-2x)^(7/2).
(Formerly M2124 N0841)
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+0
5
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| 2, 20, 210, 2520, 34650, 540540, 9459450, 183783600, 3928374450, 91662070500, 2319050383650, 63246828645000, 1849969737866250, 57775977967207500, 1918987839625106250, 67548371954803740000, 2511955082069264081250
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Ramanujan polynomials -psi_{n+2}(n+2,x) evaluated at 1.
With offset 2, second Eulerian transform of 0,1,2,3,4... - Ross La Haye (rlahaye(AT)new.rr.com), Mar 05 2005
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REFERENCES
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L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 256.
F. N. David and D. E. Barton, Combinatorial Chance. Hafner, NY, 1962, p. 296.
C. Jordan, On Stirling's Numbers, Tohoku Math. J., 37 (1933), 254-278.
C. Jordan, Calculus of Finite Differences. Budapest, 1939, p. 152.
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FORMULA
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(2n+5)!!/3 - (2n+3)!!.
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PROGRAM
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(PARI) a(n)=(2n+6)!/(n+3)!/2^(n+3)/3-(2n+4)!/(n+2)!/2^(n+2)
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CROSSREFS
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a(n) = 2*A000457(n) = A051577(n+1) - A001147(n+2).
Negative coefficient of x of polynomials in A098503.
Adjacent sequences: A000903 A000904 A000905 this_sequence A000907 A000908 A000909
Sequence in context: A037624 A077327 A067636 this_sequence A127110 A109106 A099976
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KEYWORD
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nonn
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AUTHOR
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njas
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