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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 Eric Weisstein's World of Mathematics, Sylvester's Sequence 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-François 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 February 19 07:51 EST 2019. Contains 320309 sequences. (Running on oeis4.)