cp's OEIS Frontend

A304235 Colossally abundant numbers that are highly composite, but not superior highly composite.

%I A304235 #12 Dec 28 2020 17:50:51
%S A304235 160626866400,9316358251200,288807105787200,2021649740510400,
%T A304235 224403121196654400,9200527969062830400,395622702669701707200,
%U A304235 1970992304700453905270400,35468006523084668025340848000,135483209545341953934626770390608000
%N A304235 Colossally abundant numbers that are highly composite, but not superior highly composite.
%C A304235 Numbers m in A004490 that are also in A002182 but not A002201.
%C A304235 Subset of A166981. Numbers in this sequence are in neither A224078 nor A304234.
%C A304235 There are 32 terms in this sequence.
%C A304235 The smallest term is 2^4 * 3^2 * 5 * A002110(9) or the product of k = {1,1,2,3,9} in A002110.
%C A304235 The largest term is 2^9 * 3^5 * 5^3 * 7^2 * 11 * 13 * 17 * 19 * 23 * A002110(66) or the product of A002110(k) with k = {1,1,1,1,2,2,3,4,9,66}, a 146 digit decimal number.
%H A304235 Michael De Vlieger, <a href="/A304235/b304235.txt">Table of n, a(n) for n = 1..32</a>
%H A304235 Michael De Vlieger, <a href="/A304235/a304235.txt">Colossally abundant m that are also highly composite but not superior highly composite</a>
%H A304235 Michael De Vlieger, <a href="/A304235/a304235.png">Color coded plot of m A002182 and A004394 at (x,y) where A301414(x) * A002110(y) = m</a>, terms in this sequence are colored dark red.
%H A304235 Michael De Vlieger, <a href="/A304235/a304235_1.png">Annotated plot of a(n)</a> for 1 <= n <= 32 at (x,y) = (a(n)/A002110(A001221(a(n)), A002110(A001221(a(n)))
%t A304235 (* First, download b-files at A002182, A002201, and A004490 *)
%t A304235 With[{s = Import["b004490.txt", "Data"][[All, -1]], t = Import["b002182.txt", "Data"][[All, -1]], u = Import["b002201.txt", "Data"][[All, -1]]}, Select[Intersection[s, t], FreeQ[u, #] &]]
%Y A304235 Cf. A002110, A002182, A002201, A004394, A004490, A166981, A224078, A304234.
%K A304235 nonn,fini
%O A304235 1,1
%A A304235 _Michael De Vlieger_, May 08 2018