|
|
A240071
|
|
Irregular triangle of the simple continued fraction of sqrt(n).
|
|
1
|
|
|
1, 1, 2, 1, 1, 2, 2, 2, 4, 2, 2, 4, 2, 1, 1, 1, 4, 2, 1, 4, 3, 3, 6, 3, 3, 6, 3, 2, 6, 3, 1, 1, 1, 1, 6, 3, 1, 2, 1, 6, 3, 1, 6, 4, 4, 8, 4, 4, 8, 4, 2, 1, 3, 1, 2, 8, 4, 2, 8, 4, 1, 1, 2, 1, 1, 8, 4, 1, 2, 4, 2, 1, 8, 4, 1, 3, 1, 8, 4, 1, 8, 5, 5, 10, 5, 5, 10
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,3
|
|
LINKS
|
|
|
EXAMPLE
|
Irregular table in which the first term is the non-repeating part:
{1},
{1, 2},
{1, 1, 2},
{2},
{2, 4},
{2, 2, 4},
{2, 1, 1, 1, 4},
{2, 1, 4},
{3},
{3, 6},
{3, 3, 6},
{3, 2, 6},
{3, 1, 1, 1, 1, 6},
{3, 1, 2, 1, 6}
|
|
MATHEMATICA
|
Table[Flatten[ContinuedFraction[Sqrt[n]]], {n, 30}]
|
|
CROSSREFS
|
Cf. A067280 (length of the continued fraction of sqrt(n)).
|
|
KEYWORD
|
nonn,tabf
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|