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%I #7 May 09 2017 00:06:45
%S 3,2,0,3,2,0,4,2,3,2,0,0,2,0,4,3,2,2,0,2,0,0,4,0,3,2,0,4,2,0,4,2,0,2,
%T 0,3,2,0,4,2,2,0,0,0,2,0,4,0,3,2,0,2,2,0,4,0,0,2,0,4,2,0,4,3,2,0,0,2,
%U 0,0,4,2,2,2,0,0,0,0,4,2,3,2,0,0,2,0,4,0,2,2,0,4,0,0,4,0,2,2,0,3,2,0,4,2,0,2,0,0,2,0,4,4,2,0,0,2,2,0,4,0
%N a(n) = 4*A072401(n) + 2*A229062(n) + A010052(n).
%C Partitions natural numbers to the same equivalence classes as A002828. That is, for all i, j: a(i) = a(j) <=> A002828(i) = A002828(j). To get A002828 replace 0's with 3's, 3's with 1's and keep 2's as 2's and 4's as 4's.
%H Antti Karttunen, <a href="/A286368/b286368.txt">Table of n, a(n) for n = 1..10000</a>
%F a(n) = 4*A072401(n) + 2*A229062(n) + A010052(n).
%o (Scheme) (define (A286368 n) (+ (* 4 (A072401 n)) (* 2 (A229062 n)) (A010052 n)))
%Y Cf. A002828, A010052, A072401, A229062, A286366.
%K nonn
%O 1,1
%A _Antti Karttunen_, May 08 2017
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