cp's OEIS Frontend

A278234 Filter-sequence for factorial base (digit slopes): Least number with the same prime signature as A275734(n).

%I A278234 #22 Jun 20 2017 23:27:21
%S A278234 1,2,2,6,2,4,2,6,6,30,6,12,2,6,4,12,6,12,2,4,6,12,4,8,2,6,6,30,6,12,6,
%T A278234 30,30,210,30,60,6,30,12,60,30,60,6,12,30,60,12,24,2,6,6,30,6,12,4,12,
%U A278234 12,60,12,36,6,30,12,60,30,60,6,12,30,60,12,24,2,6,4,12,6,12,6,30,12,60,30,60,4,12,8,24,12,36,6,12,12,36,12,24,2,4,6,12,4,8,6
%N A278234 Filter-sequence for factorial base (digit slopes): Least number with the same prime signature as A275734(n).
%C A278234 This sequence can be used for filtering certain factorial base (A007623) related sequences, because it matches only with any such sequence b that can be computed as b(n) = f(A275734(n)), where f(n) is any function that depends only on the prime signature of n (some of these are listed under the index entry for "sequences computed from exponents in ...").
%C A278234 Matching in this context means that the sequence a matches with the sequence b iff for all i, j: a(i) = a(j) => b(i) = b(j). In other words, iff the sequence b partitions the natural numbers to the same or coarser equivalence classes (as/than the sequence a) by the distinct values it obtains.
%H A278234 Antti Karttunen, <a href="/A278234/b278234.txt">Table of n, a(n) for n = 0..40320</a>
%H A278234 Indranil Ghosh, <a href="/A278234/a278234_1.txt">Python program for computing this sequence</a>
%H A278234 <a href="/index/Eu#epf">Index entries for sequences computed from exponents in factorization of n</a>
%H A278234 <a href="/index/Fa#facbase">Index entries for sequences related to factorial base representation</a>
%F A278234 a(n) = A046523(A275734(n)).
%F A278234 a(n) = A278235(A225901(n)).
%o A278234 (Scheme) (define (A278234 n) (A046523 (A275734 n)))
%Y A278234 Cf. A007623, A046523, A225901, A275734.
%Y A278234 Other filter-sequences related to factorial base: A278225, A278235, A278236.
%Y A278234 Sequences that partition N into same or coarser equivalence classes: A060130, A060502, A275811, A275946, A275962.
%K A278234 nonn
%O A278234 0,2
%A A278234 _Antti Karttunen_, Nov 16 2016