A064848 Period of continued fraction for sqrt(2)*n.

1, 2, 2, 4, 1, 2, 4, 4, 10, 2, 10, 2, 5, 4, 8, 12, 2, 6, 14, 8, 8, 6, 16, 4, 13, 10, 26, 8, 1, 8, 24, 24, 6, 2, 2, 6, 15, 18, 16, 20, 4, 8, 30, 6, 10, 16, 28, 8, 36, 22, 2, 20, 19, 30, 10, 12, 14, 2, 14, 8, 25, 20, 4, 48, 13, 6, 54, 2, 32, 2, 52, 16, 30, 26, 40, 10, 6, 16, 20, 36, 78, 4

Offset

1,2

Comments

a(n)=1 for n in A001653. - Robert Israel, Jul 10 2018

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Maple

f:= n -> nops(numtheory:-cfrac(sqrt(2)*n, 'periodic', 'quotients')[2]):
map(f, [$1..1000]); # Robert Israel, Jul 10 2018

Crossrefs

Cf. A001653.

Sequence in context: A317826 A317836 A214740 * A333335 A212791 A175001

Adjacent sequences: A064845 A064846 A064847 * A064849 A064850 A064851

Keyword

nonn

Author

R. K. Guy, Oct 26, 2001

Status

approved