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%I #14 Apr 05 2022 17:08:21
%S 0,1,2,2,4,4,6,7,5,7,10,9,11,10,14,6,15,17,15,10,20,16,22,18,22,12,26,
%T 14,28,21,28,31,23,28,33,24,29,37,22,39,26,39,30,27,41,37,45,35,47,49,
%U 28,50,52,29,51,55,41,50,58,40,49,44,52,45,54,44,53,47
%N a(n) is the number of numbers k < n such that A109812(k) < A109812(n).
%H Rémy Sigrist, <a href="/A352792/b352792.txt">Table of n, a(n) for n = 1..10000</a>
%H Rémy Sigrist, <a href="/A352792/a352792.png">Scatterplot of the first 100000 terms</a>
%H Rémy Sigrist, <a href="/A352792/a352792.txt">C++ program</a>
%F a(n) <= n-1 with equality iff n belongs to A352204.
%e The initial values of a(n), b(n) = A109812(n), and the corresponding k's, are:
%e n a(n) b(n) k's
%e -- ---- ---- ---------------------------------------------------
%e 1 0 1 []
%e 2 1 2 [1]
%e 3 2 4 [1, 2]
%e 4 2 3 [1, 2]
%e 5 4 8 [1, 2, 3, 4]
%e 6 4 5 [1, 2, 3, 4]
%e 7 6 10 [1, 2, 3, 4, 5, 6]
%e 8 7 16 [1, 2, 3, 4, 5, 6, 7]
%e 9 5 6 [1, 2, 3, 4, 6]
%e 10 7 9 [1, 2, 3, 4, 5, 6, 9]
%e 11 10 18 [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
%e 12 9 12 [1, 2, 3, 4, 5, 6, 7, 9, 10]
%e 13 11 17 [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12]
%e 14 10 14 [1, 2, 3, 4, 5, 6, 7, 9, 10, 12]
%e 15 14 32 [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
%e 16 6 7 [1, 2, 3, 4, 6, 9]
%e 17 15 24 [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16]
%o (C++) See Links section.
%Y Cf. A109812, A352204.
%K nonn
%O 1,3
%A _Rémy Sigrist_, Apr 03 2022
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