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A118428 Decimal expansion of heptanacci constant. 2
1, 9, 9, 1, 9, 6, 4, 1, 9, 6, 6, 0, 5, 0, 3, 5, 0, 2, 1, 0, 9, 7, 7, 4, 1, 7, 5, 4, 5, 8, 4, 3, 7, 4, 9, 6, 3, 4, 7, 9, 3, 1, 8, 9, 6, 0, 0, 5, 3, 1, 5, 7, 9, 9, 5, 2, 4, 4, 7, 8, 2, 1, 5, 3, 4, 0, 0, 9, 5, 1, 9, 8, 0, 3, 0, 9, 6, 2, 2, 1, 8, 3, 5, 6, 3, 1, 4, 1, 5, 7, 7, 0, 2, 2, 7, 1, 9, 0, 1, 7, 0, 9, 9, 1, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Other roots of the equation x^7 - x^6 - ... - x - 1 see in A239566. For n>=7, round(c^prime(n)) == 1 (mod 2*prime(n)). Proof in Shevelev link. - Vladimir Shevelev, Mar 21 2014

LINKS

Table of n, a(n) for n=1..105.

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, Heptanacci Number

Eric Weisstein's World of Mathematics, Heptanacci Constant

EXAMPLE

1.9919641966050350210...

MATHEMATICA

RealDigits[x/.FindRoot[x^7+Total[-x^Range[0, 6]]==0, {x, 2}, WorkingPrecision-> 110]][[1]] (* Harvey P. Dale, Dec 13 2011 *)

CROSSREFS

Cf. A066178, A239566.

Sequence in context: A175618 A145280 A144667 * A166925 A178164 A216035

Adjacent sequences:  A118425 A118426 A118427 * A118429 A118430 A118431

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Apr 27 2006

STATUS

approved

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Last modified December 21 20:22 EST 2014. Contains 252326 sequences.