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.

A206770 Smallest number k such that sigma(k-2*n)=sigma(k)-2*n.

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%I A206770 #9 Jan 12 2013 17:52:04
%S A206770 5,7,11,11,13,17,17,19,23,23,29,29,21,31,37,37,37,41,28,33,47,47,53,
%T A206770 53,53,59,59,44,61,67,67,67,71,57,73,79,79,79,83,83,69,89,74,101,68,
%U A206770 97,97,85,101,103,107,107,109,113,93,131,127,127,131,127,127,127
%N A206770 Smallest number k such that sigma(k-2*n)=sigma(k)-2*n.
%C A206770 Note all k>=1 are considered, even if k-2n<0. If the search space is k>=2n, variants of A020484 and A060264 appear. - _R. J. Mathar_, Jan 12 2013
%e A206770 a(15)=37 because 37 is the minimum number for which sigma(37-2*15)=sigma(7)=8 and sigma(37)-2*15=38-30=8.
%p A206770 A206770:=proc(q)
%p A206770 local k,n;
%p A206770 for n from 1 to q do
%p A206770 for k from 1 to q do
%p A206770   if sigma(k-2*n)=sigma(k)-2*n then print(k); break; fi;
%p A206770 od; od; end:
%p A206770 A206770(1000000000);
%p A206770 A206770 := proc(n)
%p A206770     local k ;
%p A206770     for k from 1 do
%p A206770         if numtheory[sigma](k-2*n) = numtheory[sigma](k)-2*n then
%p A206770             return k;
%p A206770         end if;
%p A206770     end do:
%p A206770 end proc: # _R. J. Mathar_, Jan 12 2013
%Y A206770 Cf. A054906
%K A206770 nonn
%O A206770 1,1
%A A206770 _Paolo P. Lava_, Jan 10 2013