cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A135096 Decimal expansion of certain constant L.

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%I A135096 #14 Sep 18 2024 10:29:46
%S A135096 5,7,8,1,2,9,6,5,2,6,3,0,5,6,2,8,1,3,7,2,4,0,5,7,7,5,7,9,8,0,2,9,0,2,
%T A135096 6,1,9,1,2,1,5,9,6,2,1,7,1,5,6
%N A135096 Decimal expansion of certain constant L.
%C A135096 Conjecture: With any real number c in the interval [L,U] there exists for each natural number n>2 a natural number m and a prime number p so that n=floor(m^c)+p. L is the lower bound of c. U is the upper bound of c. L = 0.5781296526305628137240577579803... U = 1.3652123889685187297293386676777... (A135097).
%C A135096 L is close to the Euler-Mascheroni constant Gamma = 0.5772... I am continuing calculating further digits.
%e A135096 Let c=1.23456789 (arbitrary). Each natural number n>2 has the form n=floor(m^1.23456789+p), where m is natural number and p prime.
%Y A135096 Cf. A135097.
%K A135096 cons,nonn
%O A135096 0,1
%A A135096 _Werner D. Sand_, Nov 25 2007, Dec 01 2007
%E A135096 Leading zero removed by _R. J. Mathar_, Feb 05 2009