[seqfan] Re: The Demichel errors, continued
Olivier Gerard
olivier.gerard at gmail.com
Sun Dec 18 01:18:47 CET 2011
On Sun, Dec 18, 2011 at 00:19, N. J. A. Sloane <njas at research.att.com>wrote:
>
> We replace this with two sequences:
> Calculating in Maple, here is what I get:
>
> t1 := arccosh(exp(x) - sin(x));
> t2:=series(%,x,50);
>
> 2 3 4 5 503 6 521 7
> 13 8
> t2 := x + 1/3 x - 1/18 x - 1/27 x - 5/648 x + ----- x + ------ x -
> ----- x -
> 68040 136080
> 51030
>
> 827 9 1812469 10 44303839 11 9150959 12
> 17949817 13
> ------ x - ---------- x + ------------ x + ----------- x +
> ------------- x
> 653184 4849891200 203695430400 43649020800
> 1466607098880
>
> ...
>
> or
>
> 1*x+1/3*x^2-1/18*x^3-1/27
> *x^4-5/648*x^5+503/68040*x^6+521/136080*x^7-13/51030*x^8...
>
>
>
To be precise, in all these sequences (correct or not), Patrick considered
E.g.f.s, so you have to apply the Laplace transform (multiplying by (n+k)!,
k a suitable offset) as I did in my computations if we keep the same
normalization.
Olivier
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