|
| |
|
|
A062328
|
|
Length of period of continued fraction expansion of square root of 3^n+1.
|
|
1
| |
|
|
0, 1, 4, 1, 26, 1, 56, 1, 44, 1, 264, 1, 814, 1, 136, 1, 3730, 1, 20968, 1, 2448, 1, 287980, 1, 397238, 1, 2678, 1, 670896, 1, 8110044, 1, 20696, 1, 1066520, 1
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,3
|
|
|
EXAMPLE
| The period of sqrt(244) contains 26 terms: [1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 9, 1, 6, 1, 9, 1, 1, 5, 1, 2, 1, 1, 1, 1, 1, 30], so a(5) = 26.
|
|
|
MAPLE
| with(numtheory): [seq(nops(cfrac(sqrt(3^k+1), 'periodic', 'quotients')[2]), k=2..18)];
|
|
|
MATHEMATICA
| Table[Last[ContinuedFraction[Sqrt[3^w+1]]], {w, 1, 36}]
|
|
|
CROSSREFS
| Cf. A059866, A059926, A059927, A062682.
Sequence in context: A079621 A046860 A089505 * A136234 A196528 A135897
Adjacent sequences: A062325 A062326 A062327 * A062329 A062330 A062331
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Jul 13 2001
|
| |
|
|
