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A274030 Decimal representation of continued fraction sigma(1)-1, sigma(2)-2, sigma(3)-3, sigma(4)-4, ... 1

%I

%S 0,5,5,7,1,6,8,0,0,6,9,7,8,7,6,9,2,7,5,1,7,5,9,2,8,9,7,4,6,9,9,9,1,8,

%T 5,6,0,5,1,6,1,0,6,6,6,5,9,7,6,4,6,9,1,7,5,3,6,0,3,1,3,4,0,3,9,3,3,2,

%U 9,0,6,4,7,6,0,4,7,7,3,7,1,4,2,2,6,8,4

%N Decimal representation of continued fraction sigma(1)-1, sigma(2)-2, sigma(3)-3, sigma(4)-4, ...

%C Good approximation up to the 9th decimal digits: 11710/21017.

%H Paolo P. Lava, <a href="/A274030/b274030.txt">Table of n, a(n) for n = 1..1000</a>

%e 0.557168006978769275175928974699... = [0, 1, 1, 3, 1, 6, 1, 7, 4, 8, 1, 14]

%p with(numtheory): P:=proc(q) local a,n; a:=sigma(q)-q+1;

%p for n from q-1 by -1 to 1 do a:=sigma(n)-n+1/a; od;

%p lprint(evalf(a,100)); end: P(1);

%Y Cf. A000203, A001065, A223854, A223855, A223856.

%K nonn,cons

%O 1,2

%A _Paolo P. Lava_, Jun 07 2016

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Last modified June 23 18:45 EDT 2021. Contains 345402 sequences. (Running on oeis4.)