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.

A306303 Numbers that appear in the concatenation in decreasing order of their aliquot parts.

This page as a plain text file.
%I A306303 #13 Nov 20 2023 16:32:25
%S A306303 95,110,220,312,330,371,432,440,510,525,550,624,660,714,770,864,880,
%T A306303 936,990,995,1111,2480,4100,5115,5125,5134,5135,5625,6120,6432,6794,
%U A306303 8100,8145,9225,9864,9950,9995,10250,11100,11110,12864,15375,16200,20500,22200,22220
%N A306303 Numbers that appear in the concatenation in decreasing order of their aliquot parts.
%C A306303 The first terms that appear in both the concatenations in increasing and decreasing order are 510, 550, 624, 714, 1111, 5625, 50100, 51020, 53125, 56250, 67134, ...
%H A306303 Paolo P. Lava, <a href="/A306303/b306303.txt">Table of n, a(n) for n = 1..250</a>
%e A306303 Aliquot parts of 95 are 1, 5, 19 and their concatenation in decreasing order is 1951 where 95 appears.
%p A306303 with(numtheory): P:=proc(n) local a,b,k;
%p A306303 a:=sort([op(divisors(n) minus {n})]); b:=a[nops(a)];
%p A306303 for k from nops(a) by -1 to 2 do b:=b*10^(ilog10(a[k-1])+1)+a[k-1]; od;
%p A306303 if searchtext(convert(n,string),convert(b,string))>0
%p A306303 then n; fi; end: seq(P(i),i=2..22220);
%t A306303 Select[Range[23000],SequenceCount[Flatten[IntegerDigits/@Reverse[Most[Divisors[ #]]]],IntegerDigits[ #]]>0&] (* _Harvey P. Dale_, Nov 20 2023 *)
%Y A306303 Cf. A056538, A248323.
%K A306303 nonn,base,easy
%O A306303 1,1
%A A306303 _Paolo P. Lava_, Feb 05 2019