A068558 - OEIS

A068558

Decimal expansion of the smallest solution >0 to cos(x)=cos(x^2).

2, 0, 5, 6, 0, 0, 9, 6, 4, 5, 3, 6, 1, 2, 1, 9, 3, 8, 2, 6, 0, 4, 2, 4, 8, 2, 1, 7, 5, 7, 4, 7, 0, 5, 4, 9, 5, 4, 0, 4, 2, 1, 4, 2, 4, 6, 3, 3, 2, 4, 2, 6, 2, 5, 9, 3, 5, 2, 3, 6, 1, 8, 9, 4, 7, 4, 0, 7, 0, 4, 5, 1, 1, 2, 3, 9, 7, 2, 7, 6, 8, 4, 5, 1, 6, 0, 1, 5, 4, 8, 9, 8, 7, 3, 6, 4, 0, 7, 4, 1, 8, 2, 0, 1, 3

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OFFSET

1,1

COMMENTS

Let d(n) be defined to be the smallest solution to cos(x)=cos(x^n) then lim n -> infinity d(n) exists and equals 2.36338112904...= w004 in Plouffe's inverter.

LINKS

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

FORMULA

This number is (-1+sqrt(1+8*Pi))/2 = 2.0560096...

MATHEMATICA

RealDigits[(Sqrt[8*Pi+1]-1)/2, 10, 120][[1]] (* Harvey P. Dale, Sep 25 2015 *)

CROSSREFS

Sequence in context: A137421 A155524 A051111 * A245058 A240657 A262420

Adjacent sequences: A068555 A068556 A068557 * A068559 A068560 A068561

KEYWORD

easy,nonn,cons

AUTHOR

Benoit Cloitre, Mar 30 2002

STATUS

approved