[seqfan] Re: Re a < b < c < d < e < f < q < h
Tomasz Ordowski
tomaszordowski at gmail.com
Thu May 24 11:04:15 CEST 2018
> Golden ratio phi (or tau) = (1 + sqrt(5))/2 = f ?
Of course, because f-1 = 1/f, so (f-1)f^(f+1) = f^(f+1)/f = f^f. QED
Thomas
2018-05-23 21:22 GMT+02:00 юрий герасимов <2stepan at rambler.ru>:
> Dear SeqFans.
>
> Decimal expansion of the solution to (1 + a)*a^a = (1 - a)^a: 2, 9, 3, 9,
> 4, ...
>
> Decimal expansion of the solution to (1 + b)*b^(1 - b) = b^b: 3, 5, 4, 0,
> 8, ...
>
> Decimal expansion of the solution to (1 - c)*(1 + c)^c = c^c: 3, 9, 1, 1,
> 1, ...
>
> Decimal expansion of the solution to (1 - d)*d^d = d^(1 + d): 4, 9, 9, 9,
> 2, ...
>
> Decimal expansion of the solution to (e + 1)*e^e = e^(e - 1): 6, 1, 8, 0,
> 7, ...
>
> Decimal expansion of the solution to (f - 1)*f^(f + 1) = f^f: 1. 6, 1, 8,
> 0, ...
>
> Decimal expansion of the solution to (g + 1)*(g - 1)^g = g^g: 2, 5, 5, 5,
> 9, ...
>
> Decimal expansion of the solution to (h - 1)*h^h = (h + 1)^h: 3, 4, 0, 2,
> 9, ...
>
>
> This sequences are the general interest for OEIS? Thanks. JSG, Mar 30 2018
>
> Dear SeqFans,
>
> Golden ratio phi (or tau) = (1 + sqrt(5))/2 = f ?
>
> Thanks. JSG, May 23 2018
>
> --
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