|
Search: id:A127015
|
|
| |
|
| 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
A127014(n) = smallest k such that A(k) == 0 mod 2^n, where A(0) = 1 and A(k) = k*A(k-1) + 1 = A000522(k).
|
|
REFERENCES
|
N. Koblitz, p-adic Numbers, p-adic Analysis and Zeta-Functions, 2nd ed., Springer, New York, 1996.
|
|
LINKS
|
J. Sondow, Which Partial Sums of the Taylor Series for e Are Convergents to e? (and a Link to the Primes $2, 5, 13, 37, 463, ...$) with an Appendix "Periodic Behaviour of Some Recurrence Sequences Related to $e$, Modulo Powers of 2" by Kyle Schalm
|
|
EXAMPLE
|
In 2-adic notation (aka reverse binary) A127014(26) = 11001110010100010100110001.
|
|
CROSSREFS
|
Cf. A000522, A127014.
Sequence in context: A133872 A071026 A068434 this_sequence A068432 A134668 A092444
Adjacent sequences: A127012 A127013 A127014 this_sequence A127016 A127017 A127018
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Kyle Schalm (kschalm(AT)math.utexas.edu), Jan 07 2007
|
|
|
Search completed in 0.002 seconds
|
