A115632 Decimal expansion of asymptotic constant in Goebel's sequence A003504.

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

Author

Eric W. Weisstein, Jan 27 2006

Keywords

• nonn
• cons

Examples

			1.04783144757641122955990946274313755459058761286023309695104064853536...
		

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.

Crossrefs

Cf. A003504.

Programs

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 */