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

Offset: 1

Author

Derek Orr, Mar 10 2015

Keywords

• nonn
• cons
• easy
• less

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.

Examples

			1.7777777777777777777777777777...
		

Links

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

Crossrefs

Cf. A010727, A021040, A122553, A186684.

Programs

Mathematica

RealDigits[16/9, 10, 100][[1]] (* Vincenzo Librandi, Mar 24 2015 *)

PARI

x=16/9; for(n=1, 100, d=floor(x); x=(x-d)*10; print1(d,", "))

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)