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A076393 Decimal expansion of Vardi constant arising in the Sylvester sequence. 13
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Vardi showed A000058(n) = floor(c^(2^n)+1/2) where c=1.26408473...

REFERENCES

S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 443-448.

LINKS

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

MATHEMATICA

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-Fran├žois Alcover, Jun 05 2014 *)

CROSSREFS

Cf. A000058.

Sequence in context: A128192 A077750 A247493 * A054674 A186503 A213654

Adjacent sequences:  A076390 A076391 A076392 * A076394 A076395 A076396

KEYWORD

cons,easy,nonn

AUTHOR

Benoit Cloitre, Nov 06 2002

STATUS

approved

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Last modified October 15 17:12 EDT 2018. Contains 316237 sequences. (Running on oeis4.)