A135096 Decimal expansion of certain constant L.

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, 6, 1, 9, 1, 2, 1, 5, 9, 6, 2, 1, 7, 1, 5, 6

Offset

0,1

Comments

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).

L is close to the Euler-Mascheroni constant Gamma = 0.5772... I am continuing calculating further digits.

Links

Table of n, a(n) for n=0..48.

Example

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.

Crossrefs

Cf. A135097.

Sequence in context: A021177 A091662 A063006 * A153104 A233527 A244355

Adjacent sequences: A135093 A135094 A135095 * A135097 A135098 A135099

Keyword

cons,nonn

Author

Werner D. Sand, Nov 25 2007, Dec 01 2007

Extensions

Leading zero removed by R. J. Mathar, Feb 05 2009

Status

approved