A096486 Period length of continued fraction for square root of A095372(n)=1+90*(-1+100^n)/99.

8, 170, 2242, 2132, 1294, 976846, 216566, 9904144, 25617930, 408928520, 25346031262, 137031675878, 89950978114

Offset

1,1

Links

Table of n, a(n) for n=1..13.

Maple

with(numtheory): [seq(nops(cfrac((1+90*(-1+100^k)/99)^(1/2), 'periodic', 'quotients')[2]), k=2..10)];

Mathematica

Do[Print[Length[Last[ContinuedFraction[(1+90*(-1+100^n)/99)^(1/2)]]]], {n, 1, 9}]

Crossrefs

Cf. A095372, A096485.

Sequence in context: A302802 A316816 A001534 * A303463 A300805 A317566

Adjacent sequences: A096483 A096484 A096485 * A096487 A096488 A096489

Keyword

nonn,hard,more

Author

Labos Elemer, Jun 25 2004

Extensions

a(10) from Vaclav Kotesovec, Aug 29 2019

a(11)-a(12) from Chai Wah Wu, Dec 07 2019

a(13) from Chai Wah Wu, Oct 01 2021

Status

approved