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.

A115749 Numbers n such that sigma(n)=8*reversal(n).

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%I A115749 #9 Oct 28 2012 04:46:29
%S A115749 861,951,2070,8241,900051,8864151,9000051,82000041,8200000041,
%T A115749 82000000041
%N A115749 Numbers n such that sigma(n)=8*reversal(n).
%C A115749 If p=3*10^n+17 is prime then 3*p is in the sequence because sigma(3*p)=4*(3*10^n+18)=12*10^n+72=8*(15*10^(n-1)+9)=8* reversal(9*10^n+51)=8*reversal(3*p). Also if p=(2*10^n+1)/3 is prime then 123*p is in the sequence (the proof is easy). Next term is greater than 13*10^7.
%C A115749 a(11) > 10^12. - _Giovanni Resta_, Oct 28 2012
%e A115749 82000041 is in the sequence because sigma(82000041)
%e A115749 =112000224=8*14000028=8*reversal(82000041).
%t A115749 Do[If[DivisorSigma[1,n]==8*FromDigits[Reverse[IntegerDigits[n]]],Print[n]],{n,130000000}]
%Y A115749 Cf. A069216, A105324, A114928, A115747, A115748.
%K A115749 base,more,nonn
%O A115749 1,1
%A A115749 _Farideh Firoozbakht_, Feb 12 2006
%E A115749 a(9)-a(10) from _Donovan Johnson_, Dec 21 2008