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A127015 Digits of the 2-adic integer lim_{n->oo} A127014(n). 2
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; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
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.
J. Sondow and K. Schalm, Which partial sums of the Taylor series for e are convergents to e? (and a link to the primes 2, 5, 13, 37, 463), Gems in Experimental Mathematics (T. Amdeberhan, L. A. Medina, and V. H. Moll, eds.), Contemporary Mathematics, vol. 517, Amer. Math. Soc., Providence, RI, 2010.
LINKS
EXAMPLE
In 2-adic notation (aka reverse binary) A127014(26) = 11001110010100010100110001.
CROSSREFS
Sequence in context: A068434 A323511 A284391 * A281114 A286749 A359374
KEYWORD
nonn
AUTHOR
Kyle Schalm (kschalm(AT)math.utexas.edu), Jan 07 2007
STATUS
approved

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Last modified March 18 22:50 EDT 2024. Contains 370951 sequences. (Running on oeis4.)