A127015 - OEIS

A127015

Digits of the 2-adic integer lim_{n->oo} A127014(n).

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

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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

Table of n, a(n) for n=1..26.

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), II.

EXAMPLE

In 2-adic notation (aka reverse binary) A127014(26) = 11001110010100010100110001.

CROSSREFS

Cf. A000522, A127014, A138761.

Sequence in context: A068434 A323511 A284391 * A281114 A286749 A359374

Adjacent sequences: A127012 A127013 A127014 * A127016 A127017 A127018

KEYWORD

nonn

AUTHOR

Kyle Schalm (kschalm(AT)math.utexas.edu), Jan 07 2007

STATUS

approved