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A075830 Let u(1)=x, u(n+1)=(n^2/u(n))+1; then u(n)=(b(n)*x+c(n))/(a(n)*x+d(n)). 5
0, 1, 1, 5, 7, 47, 37, 319, 533, 1879, 1627, 20417, 18107, 263111, 237371, 52279, 95549, 1768477, 1632341, 33464927, 155685007, 166770367, 156188887, 3825136961, 3602044091, 19081066231, 18051406831, 57128792093, 7751493599 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

for x real >0 lim n -> infinity abs(u(n)-n) = (x-1)/(1+(x-1)*log(2)).

LINKS

Table of n, a(n) for n=1..29.

PROG

(PARI) u(n)=if(n<2, x, (n-1)^2/u(n-1)+1); a(n)=polcoeff(denominator(u(n)), 1, x)

CROSSREFS

Apart from leading term, same as A058313.

Cf. A075827, A075828, A075829.

Sequence in context: A278618 A174267 A306649 * A058313 A120301 A119787

Adjacent sequences:  A075827 A075828 A075829 * A075831 A075832 A075833

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Oct 14 2002

STATUS

approved

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Last modified May 25 11:04 EDT 2019. Contains 323539 sequences. (Running on oeis4.)