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Least number with the same prime signature as the n-th term of EKG-sequence: a(n) = A046523(A064413(n)).
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%I #13 Sep 09 2017 19:22:42

%S 1,2,4,6,2,4,12,8,6,2,6,12,6,2,6,24,16,12,6,2,6,8,30,4,6,12,6,2,6,36,

%T 32,6,2,6,30,6,2,6,12,24,12,6,2,6,48,12,12,24,24,4,12,60,6,6,30,6,2,6,

%U 30,6,2,6,72,64,12,6,2,6,12,30,12,48,6,2,6,16,60,6,24,6,2,6,60,6,6,36,12,6,2,6,96,12,6,24,30,12,30,72,6,2,6,30,30,48,12,6

%N Least number with the same prime signature as the n-th term of EKG-sequence: a(n) = A046523(A064413(n)).

%C This sequence works as a "sentinel" for EKG-sequence by matching to any sequence that is obtained as f(A064413(n)), where f(n) is any function that depends only on the prime signature of n (see the index entry for "sequences computed from exponents in ..."). The last line in Crossrefs section lists such sequences that were present in the database as of Nov 11 2016.

%C Terms and b-file computed from b-file of A064413 provided by _Zak Seidov_.

%H Antti Karttunen, <a href="/A278263/b278263.txt">Table of n, a(n) for n = 1..10000</a>

%H <a href="/index/Eu#epf">Index entries for sequences computed from exponents in factorization of n</a>

%F a(n) = A046523(A064413(n)).

%o (Scheme) (define (A278263 n) (A046523 (A064413 n)))

%Y Cf. A046523, A064413, A278264.

%Y Sequences that partition N into same or coarser equivalence classes: A064742, A065203.

%K nonn

%O 1,2

%A _Antti Karttunen_, Nov 16 2016