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A002437 Multiples of Euler numbers.
(Formerly M4462 N1891)
+0
6
1, 7, 305, 33367, 6815585, 2237423527, 1077270776465, 715153093789687, 626055764653322945, 698774745485355051847, 968553361387420436695025, 1632180870878422847476890007, 3286322019402928956112227932705, 7791592461957309952817483706344167, 21485762937086358457367440231243675985 (list; graph; listen)
OFFSET

1,2

REFERENCES

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).

LINKS

Michael E. Hoffman, DERIVATIVE POLYNOMIALS, EULER POLYNOMIALS, AND ASSOCIATED INTEGER SEQUENCES

FORMULA

A000364(n) * (3^(2n+1)+1)/4.

Q_2n(sqrt(3)), where the polynomials Q_n() are defined in A104035. - njas, Nov 06 2009

MAPLE

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)];

CROSSREFS

Bisections: A156168, A156169.

Sequence in context: A082168 A096348 A015005 this_sequence A086215 A119163 A082160

Adjacent sequences: A002434 A002435 A002436 this_sequence A002438 A002439 A002440

KEYWORD

nonn,easy,nice,new

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from H. P. Robinson.

Further terms fron njas, Nov 06 2009

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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