cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A111409 a(n) = f(f(n+1)) - f(f(n)), where f(0)=0, and for m>0, f(m) = phi(m) = A000010(m).

This page as a plain text file.
%I A111409 #13 Jun 25 2022 21:51:49
%S A111409 1,0,0,0,1,-1,1,0,0,0,2,-2,2,-2,2,0,4,-6,4,-2,0,0,6,-6,4,-4,2,-2,8,-8,
%T A111409 4,0,0,0,0,-4,8,-6,2,0,8,-12,8,-4,0,2,12,-14,4,-4,8,-8,16,-18,10,-8,4,
%U A111409 0,16,-20,8,-8,4,4,0,-8,12,-4,4,-12,16,-16,16,-12,4,-4,4,-8,16,-8,2,-2,24,-32,24,-20,12,-8,24,-32,16,-4,-4,6
%N A111409 a(n) = f(f(n+1)) - f(f(n)), where f(0)=0, and for m>0, f(m) = phi(m) = A000010(m).
%H A111409 Alois P. Heinz, <a href="/A111409/b111409.txt">Table of n, a(n) for n = 0..10000</a>
%p A111409 a:= n-> (f-> f(f(n+1))-f(f(n)))(numtheory[phi]):
%p A111409 seq(a(n), n=0..100);  # _Alois P. Heinz_, Jun 20 2022
%Y A111409 Cf. A000010 (phi).
%Y A111409 First differences of A010554.
%K A111409 sign
%O A111409 0,11
%A A111409 _N. J. A. Sloane_, Nov 12 2005
%E A111409 Definition corrected by _N. J. A. Sloane_, Feb 14 2018