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Search: id:A135096
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| A135096 |
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Decimal expansion of certain constant L. |
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+0
2
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| 0, 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
(list; cons; graph; listen)
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OFFSET
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0,2
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COMMENT
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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.
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EXAMPLE
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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.
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CROSSREFS
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Cf. A135097.
Adjacent sequences: A135093 A135094 A135095 this_sequence A135097 A135098 A135099
Sequence in context: A021177 A091662 A063006 this_sequence A070366 A141606 A068001
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KEYWORD
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cons,nonn
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AUTHOR
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Werner D. Sand (werner.sand(AT)yahoo.de), Nov 25 2007, Dec 01 2007
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