A083729 - OEIS

A083729

Decimal expansion of sqrt(2)/(sqrt(2)-1)^2 = 3*sqrt(2)+4.

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

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OFFSET

1,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

FORMULA

Equals A010474 plus 4. - R. J. Mathar, Sep 17 2008

Equals Sum_{i>=1} i/sqrt(2)^i. - Christoph B. Kassir, Aug 30 2021

EXAMPLE

8.242640687119285146405...

MATHEMATICA

RealDigits[4 + 3*Sqrt[2], 10, 100][[1]] (* G. C. Greubel, Sep 11 2018 *)