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 A223856 Decimal representation of continued fraction tau(1), tau(2), tau(3), tau(4), ... 5

%I

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

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

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

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

%H Paolo P. Lava, <a href="/A223856/b223856.txt">Table of n, a(n) for n = 1..1000</a>

%e 1.410391027863630360962618474553... = [1, 2, 2, 3, 2, 4, 2, 4, 3, 4, 2, 6, 2, 4, 4, ...]

%p with(numtheory);

%p A223856:=proc(q) local a,n; a:=tau(q+1);

%p for n from q by -1 to 1 do a:=1/a+tau(n); od; print(evalf(a,100)); end:

%p A223856(10^5);

%t digits = 100; Flatten[ContinuedFraction[Table[DivisorSigma[0, n], {n, 1, digits}]]] // FromContinuedFraction // RealDigits[#, 10, digits]& // First (* _Jean-François Alcover_, Feb 24 2014 *)

%Y Cf. A000005, A223854, A223855.

%K nonn,cons

%O 1,2

%A _Paolo P. Lava_, Mar 28 2013

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Last modified July 29 01:22 EDT 2021. Contains 346340 sequences. (Running on oeis4.)