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Solution of the complementary equation b(n)=a(a(n))+a(n)+1; this is the sequence a. Sequence b is A136500.
1

%I #2 Mar 30 2012 18:57:10

%S 1,2,4,6,7,8,9,10,12,13,14,16,18,20,21,23,25,26,27,28,30,31,33,34,36,

%T 37,38,39,41,42,43,44,46,47,48,50,51,53,54,55,56,58,59,60,61,63,65,67,

%U 69,70,71,72,74,76,77,78,79,81,83,84,85,86,88,90,91,93,95,96,97,99,100,102

%N Solution of the complementary equation b(n)=a(a(n))+a(n)+1; this is the sequence a. Sequence b is A136500.

%D Clark Kimberling, "Complementary Equations," Journal of Integer Sequences 10 (2007) Article 07.1.4, 1-14.

%e b(1) = a(a(1))+a(1)+1 = 1+1+1 = 3;

%e b(2) = a(a(2))+a(2)+1 = 2+2+1 = 5;

%e b(3) = a(a(3))+a(3)+1 = 6+4+1 = 11.

%Y Cf. A136500.

%K nonn

%O 1,2

%A _Clark Kimberling_, Jan 01 2008