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A076393
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Decimal expansion of Vardi constant arising in the Sylvester sequence.
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13
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1, 2, 6, 4, 0, 8, 4, 7, 3, 5, 3, 0, 5, 3, 0, 1, 1, 1, 3, 0, 7, 9, 5, 9, 9, 5, 8, 4, 1, 6, 4, 6, 6, 9, 4, 9, 1, 1, 1, 4, 5, 6, 0, 1, 7, 9, 2, 0, 9, 0, 6, 5, 5, 3, 3, 1, 5, 3, 4, 5, 6, 4, 1, 9, 9, 0, 7, 7, 5, 9, 0, 1, 6, 3, 6, 2, 9, 5, 1, 6, 0, 1, 4, 2, 2, 6, 3, 9, 0, 9, 2, 6, 8, 3, 9, 8, 5, 1, 5, 0, 4, 8, 0, 3, 3
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OFFSET
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1,2
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COMMENTS
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Vardi showed A000058(n) = floor(c^(2^n)+1/2) where c=1.26408473...
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REFERENCES
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S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 443-448.
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LINKS
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Table of n, a(n) for n=1..105.
Eric Weisstein's World of Mathematics, Sylvester's Sequence
B. Nill, Volume and lattice points of reflexive simplices
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MATHEMATICA
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digits = 105; For[c = 2; olds = -1; s = 0; j = 1, RealDigits[olds, 10, digits+5] != RealDigits[s, 10, digits+5], j++; c = c^2-c+1, olds = s; s = s + 2^(-j-1)*Log[1+(2*c-1)^-2] // N[#, digits+5]&]; chi = Sqrt[6]/2*Exp[s]; RealDigits[chi, 10, digits] // First (* Jean-François Alcover, Jun 05 2014 *)
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CROSSREFS
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Cf. A000058.
Sequence in context: A128192 A077750 A247493 * A054674 A186503 A213654
Adjacent sequences: A076390 A076391 A076392 * A076394 A076395 A076396
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KEYWORD
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cons,easy,nonn
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AUTHOR
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Benoit Cloitre, Nov 06 2002
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STATUS
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approved
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