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 A118427 Decimal expansion of hexanacci constant. 2
 1, 9, 8, 3, 5, 8, 2, 8, 4, 3, 4, 2, 4, 3, 2, 6, 3, 3, 0, 3, 8, 5, 6, 2, 9, 2, 9, 3, 3, 9, 1, 4, 2, 5, 7, 5, 2, 7, 3, 0, 0, 8, 0, 8, 6, 5, 5, 6, 8, 8, 2, 1, 7, 5, 3, 2, 1, 6, 3, 5, 9, 0, 6, 5, 6, 5, 6, 7, 0, 2, 2, 7, 8, 0, 1, 4, 1, 7, 2, 4, 0, 2, 9, 8, 6, 5, 7, 5, 0, 7, 0, 2, 2, 6, 8, 9, 9, 7, 9, 7, 3, 2, 7, 7, 5 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The continued fraction expansion starts 1, 1, 59, 1, 10, 2, 1, 6, 2, 1, 6, 1, 1, 7, 1, 71, 7, 1, 6, 8,... - R. J. Mathar, Mar 09 2012 For n>=7, round(c^prime(n)) == 1 (mod 2*prime(n)). Proof in Shevelev link. - Vladimir Shevelev, Mar 21 2014 LINKS S. Litsyn and V. Shevelev, Irrational Factors Satisfying the Little Fermat Theorem, International Journal of Number Theory, vol.1, no.4 (2005), 499-512. V. Shevelev, A property of n-bonacci constant, Seqfan (Mar 23 2014) Eric Weisstein's World of Mathematics, Hexanacci Number Eric Weisstein's World of Mathematics, Hexanacci Constant Eric Weisstein's World of Mathematics, Hexanacci Number EXAMPLE 1.9835828434243263303... MATHEMATICA RealDigits[ Root[ x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, 2] , 10, 105] // First (* Jean-François Alcover, Feb 07 2013 *) CROSSREFS Cf. A001592. Sequence in context: A144666 A255251 A224236 * A199170 A155532 A086306 Adjacent sequences:  A118424 A118425 A118426 * A118428 A118429 A118430 KEYWORD nonn,cons,changed AUTHOR Eric W. Weisstein, Apr 27 2006 STATUS approved

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