|
| |
|
|
A059935
|
|
Fourth step in Goodstein sequences, i.e. g(6) if g(2)=n: write g(5)=A059934(n) in hereditary representation base 5, bump to base 6, then subtract 1 to produce g(6).
|
|
5
| |
|
|
1, 83, 775, 46655, 46657, 93395, 140743, 279935, 279937, 280019, 280711, 326591, 326593, 19916489515870532960258562190639398471599239042185934648024761145811
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 3,2
|
|
|
REFERENCES
| Goodstein, R. L. "On the Restricted Ordinal Theorem." J. Symb. Logic 9, 33-41, 1944
|
|
|
EXAMPLE
| a(12) = 280019 since with g(2) = 12 = 2^(2 + 1) + 2^2, we get g(3) = 3^(3 + 1) + 3^3-1 = 107 = 3^(3 + 1) + 2*3^2 + 2*3 + 2, g(4) = 4^(4 + 1) + 2*4^2 + 2*4 + 1 = 1065, g(5) = 5^(5 + 1) + 2*5^2 + 2*5 = 15685 and g(6) = 6^(6 + 1) + 2*6^2 + 6 + 5 = 280019.
|
|
|
CROSSREFS
| Cf. A056004, A057650, A059933, A059934, A059936.
Sequence in context: A142751 A176633 A059236 * A069596 A112766 A128950
Adjacent sequences: A059932 A059933 A059934 * A059936 A059937 A059938
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Feb 12 2001
|
| |
|
|
