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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
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.
EXAMPLE
In 2-adic notation (aka reverse binary) A127014(26) = 11001110010100010100110001.
CROSSREFS
KEYWORD
nonn
AUTHOR
Kyle Schalm (kschalm(AT)math.utexas.edu), Jan 07 2007
STATUS
approved