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Search: id:A002437
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| A002437 |
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Multiples of Euler numbers.
(Formerly M4462 N1891)
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+0
6
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| 1, 7, 305, 33367, 6815585, 2237423527, 1077270776465, 715153093789687, 626055764653322945, 698774745485355051847, 968553361387420436695025, 1632180870878422847476890007, 3286322019402928956112227932705, 7791592461957309952817483706344167, 21485762937086358457367440231243675985
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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Glaisher, J. W. L.; Messenger of Math., 28 (1898), 36-79, see esp. p. 51.
A. Fletcher, J. C. P. Miller, L. Rosenhead and L. J. Comrie, An Index of Mathematical Tables. Vols. 1 and 2, 2nd ed., Blackwell, Oxford and Addison-Wesley, Reading, MA, 1962, Vol. 1, p. 75.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Michael E. Hoffman, DERIVATIVE POLYNOMIALS, EULER POLYNOMIALS, AND ASSOCIATED INTEGER SEQUENCES
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FORMULA
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A000364(n) * (3^(2n+1)+1)/4.
Q_2n(sqrt(3)), where the polynomials Q_n() are defined in A104035. - njas, Nov 06 2009
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MAPLE
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Q:=proc(n) option remember; if n=0 then RETURN(1); else RETURN(expand((u^2+1)*diff(Q(n-1), u)+u*Q(n-1))); fi; end;
[seq(subs(u=sqrt(3), Q(2*n)), n=0..25)];
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CROSSREFS
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Bisections: A156168, A156169.
Sequence in context: A082168 A096348 A015005 this_sequence A086215 A119163 A082160
Adjacent sequences: A002434 A002435 A002436 this_sequence A002438 A002439 A002440
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KEYWORD
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nonn,easy,nice,new
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from H. P. Robinson.
Further terms fron njas, Nov 06 2009
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