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.

A335850 Cubefull highly composite numbers: numbers with a record number of cubefull divisors (A190867).

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%I A335850 #14 Aug 15 2023 07:43:33
%S A335850 1,8,16,32,64,128,256,512,1024,1728,2592,5184,7776,10368,15552,20736,
%T A335850 31104,46656,62208,93312,124416,186624,248832,373248,559872,746496,
%U A335850 1119744,1492992,2239488,2985984,3359232,4478976,6718464,8957952,13436928,17915904,26873856
%N A335850 Cubefull highly composite numbers: numbers with a record number of cubefull divisors (A190867).
%C A335850 The analogous sequence of squarefull highly composite numbers is the sequence of highly powerful numbers (A005934).
%C A335850 The corresponding record values are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 16, ... (see the link for more values).
%C A335850 Also, indices of records in A361430, i.e., numbers k with a record number of coreful divisors d such that k/d is also a coreful divisor of k (a coreful divisor d of a number k is a divisor with the same set of distinct prime factors as k, see A307958). - _Amiram Eldar_, Aug 15 2023
%H A335850 Amiram Eldar, <a href="/A335850/b335850.txt">Table of n, a(n) for n = 1..832</a>
%H A335850 Amiram Eldar, <a href="/A335850/a335850.txt">Table of n, a(n), A190867(a(n)) for n = 1..832</a>
%t A335850 f[p_, e_] := Max[1, e-1] ; d[1] = 1; d[n_] := Times @@ (f @@@ FactorInteger[n]); s = {}; dm = 0; Do[d1 = d[n]; If[d1 > dm, dm = d1; AppendTo[s, n]], {n, 1, 10^5}]; s
%o A335850 (PARI) d(n) = vecprod(apply(x->max(1, x-1), factor(n)[, 2]));
%o A335850 lista(kmax) = {my(dm = 0, d1); for(k = 1, kmax, d1 = d(k); if(d1 > dm, dm = d1; print1(k, ", ")));} \\ _Amiram Eldar_, Aug 15 2023
%Y A335850 Subsequence of A025487.
%Y A335850 Cf. A002182, A005934, A190867, A307958, A361430.
%K A335850 nonn
%O A335850 1,2
%A A335850 _Amiram Eldar_, Jun 26 2020