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A075828 Let u(1)=x, u(n+1)=(n^2/u(n))+1; then u(n)=(b(n)*x+a(n))/(c(n)*x+d(n)). 3
0, 1, 1, 10, 13, 138, 101, 1228, 1923, 8930, 7303, 115356, 97249, 1721846, 1484475, 388760, 681971, 14725926, 13093585, 308430212, 1386466053, 1685280806, 1529091919, 42052434936, 38450390845, 226713176794, 208661769963 (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..27.

PROG

(PARI) u(n)=if(n<2, x, (n-1)^2/u(n-1)+1); a(n)=polcoeff(numerator(u(n)), 0, x)

CROSSREFS

Cf. A075827, A075829, A075830.

Sequence in context: A108761 A219455 A164766 * A153584 A053612 A072146

Adjacent sequences:  A075825 A075826 A075827 * A075829 A075830 A075831

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Oct 14 2002

STATUS

approved

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Last modified May 24 18:34 EDT 2019. Contains 323534 sequences. (Running on oeis4.)