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A115632
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Decimal expansion of asymptotic constant in Goebel's sequence A003504.
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2
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1, 0, 4, 7, 8, 3, 1, 4, 4, 7, 5, 7, 6, 4, 1, 1, 2, 2, 9, 5, 5, 9, 9, 0, 9, 4, 6, 2, 7, 4, 3, 1, 3, 7, 5, 5, 4, 5, 9, 0, 5, 8, 7, 6, 1, 2, 8, 6, 0, 2, 3, 3, 0, 9, 6, 9, 5, 1, 0, 4, 0, 6, 4, 8, 5, 3, 5, 3, 6, 0, 5, 9, 0, 4, 9, 7, 2, 6, 2, 3, 1, 7, 9, 7, 5, 1, 3, 0, 9, 7, 9, 0, 0, 0, 7, 0, 9, 9, 4, 7, 9, 5, 1, 1, 3
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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LINKS
| Eric Weisstein's World of Mathematics, Goebel's Sequence
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EXAMPLE
| 1.0478314475764112295599094627431375545905876128602330969510406485353605904972623179751309790007099479511304498...
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PROG
| (PARI) {a(n)=local(t=log(2)/2); for(k=2, 14, t+= (log(1+(k-1)/exp(2^(k-1)*t))-log(k))/2^k); t=exp(t-suminf(k=15, log(k)/2^k)); floor(t*10^(n-1))%10} /* Michael Somos Apr 02 2006 */
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CROSSREFS
| Cf. A003504.
Sequence in context: A171548 A198822 A151968 * A190260 A151958 A176778
Adjacent sequences: A115629 A115630 A115631 * A115633 A115634 A115635
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KEYWORD
| nonn,cons
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AUTHOR
| Eric Weisstein (eric(AT)weisstein.com), Jan 27, 2006
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