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A115632
Decimal expansion of asymptotic constant in Goebel's sequence A003504.
2
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
OFFSET
1,3
REFERENCES
Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 6.10, p. 446.
LINKS
Hibiki Gima, Toshiki Matsusaka, Taichi Miyazaki, and Shunta Yara, On integrality and asymptotic behavior of the (k,l)-Göbel sequences, arXiv:2402.09064 [math.NT], 2024. See p. 2.
Eric Weisstein's World of Mathematics, Goebel's Sequence.
EXAMPLE
1.04783144757641122955990946274313755459058761286023309695104064853536...
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 */
CROSSREFS
Cf. A003504.
Sequence in context: A198822 A275977 A151968 * A190260 A318383 A151958
KEYWORD
nonn,cons,changed
AUTHOR
Eric W. Weisstein, Jan 27 2006
STATUS
approved