|
| |
|
|
A099879
|
|
Decimal expansion of a nested radical: sqrt(1^2 + sqrt(2^2 + sqrt(3^2 + ...
|
|
4
| |
|
|
1, 9, 4, 2, 6, 5, 5, 4, 2, 2, 7, 6, 3, 9, 8, 7, 3, 2, 8, 2, 2, 1, 4, 1, 3, 2, 9, 1, 4, 1, 2, 6, 6, 7, 2, 3, 7, 6, 8, 8, 0, 7, 3, 6, 3, 0, 0, 0, 7, 1, 1, 5, 5, 1, 5, 1, 0, 0, 5, 6, 9, 5, 6, 1, 7, 7, 7, 6, 3, 2, 2, 3, 0, 8, 8, 9, 3, 4, 3, 4, 6, 5, 9, 7, 1, 5, 3, 2, 0, 8, 0, 6, 7, 5, 0, 1, 6, 8, 5, 3, 9, 8, 0
(list; constant; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
EXAMPLE
| 1.94265542276398732822141329141266723768807363...
|
|
|
MATHEMATICA
| k = 64; r = 65; While[k > 0, r = Sqrt[k^2 + r]; k-- ]; RealDigits[r, 10, 111][[1]] (from Robert G. Wilson v Nov 04 2004)
|
|
|
PROG
| (PARI) t=0:forstep(n=100, 1, -1, t=sqrt(t+n^2)):print(t)
|
|
|
CROSSREFS
| Cf. A072449, A099874, A099876 to A099878 for other nested radicals.
Sequence in context: A122952 A039663 A155535 * A126774 A179587 A050016
Adjacent sequences: A099876 A099877 A099878 * A099880 A099881 A099882
|
|
|
KEYWORD
| cons,easy,nonn
|
|
|
AUTHOR
| Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 03 2004
|
| |
|
|
