A255910 - OEIS

A255910

Decimal expansion of 16/9.

1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7

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OFFSET

1,2

COMMENTS

Cutting the unit square [0,1] x [0,1] into two equal areas with a parabolic curve y = A*x^2 requires A to be 16/9. If you extend this to an arbitrary square [0,s] x [0,s], A = (16/9)*s.

Except for the first terms, identical to A186684, A021040 and A010727.

LINKS

Table of n, a(n) for n=1..86.

Index entries for linear recurrences with constant coefficients, signature (1).

FORMULA

From Elmo R. Oliveira, Aug 05 2024: (Start)

G.f.: x + 7*x^2/(1 - x).

E.g.f.: 7*(exp(x) - 1) - 6*x.

a(n) = 7 - 6*0^(n-1).

a(n) = 7, n > 1. (End)

EXAMPLE

1.7777777777777777777777777777...