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.

A189941 Numbers n such that n''' = n''+ 1 where n'' and n''' are respectively the second and the third arithmetic derivative of n.

This page as a plain text file.
%I A189941 #9 Mar 31 2012 10:28:21
%S A189941 186,258,322,338,3866,4326,4775,18830,19122,27586,34330,34538,41626,
%T A189941 46762,49858,49922,54298,55810,70510,82122,86938,89102,101042,101706,
%U A189941 106442,110510,112910,118586,120822,129722,133430,134714,150742,157362,158235,163410
%N A189941 Numbers n such that n''' = n''+ 1 where n'' and n''' are respectively the second and the third arithmetic derivative of n.
%C A189941 The second arithmetic derivative of a(n) is a Giuga's number A007850 (solution of n'=n+1).
%H A189941 Donovan Johnson, <a href="/A189941/b189941.txt">Table of n, a(n) for n = 1..673</a>
%e A189941 186'= 161; 186"=161' = 30; 186"'=30'= 31-> 186'''= 186" +1 -> a(1)=186.
%p A189941 Using Porter's code from A003415 der:=n->n*add(op(2,p)/op(1,p),p=ifactors(n)[2])
%p A189941 for i from 1 to n do a:=der(der(der(i)))-der(der(i))-1: if a=0 then j:=j+1; A[j]:=i: end if od
%Y A189941 Cf. A003415, A007850.
%K A189941 nonn
%O A189941 1,1
%A A189941 _Giorgio Balzarotti_, May 01 2011