A384661 Solution of the complementary equation b(n)=a(a(n))+a(n)+2 with a(1)=1; this is the sequence a(n).

1, 2, 3, 5, 7, 9, 10, 11, 12, 13, 15, 16, 17, 18, 20, 21, 22, 24, 26, 27, 29, 31, 33, 34, 35, 36, 38, 40, 42, 43, 45, 46, 47, 48, 50, 51, 53, 54, 56, 57, 58, 59, 61, 62, 63, 65, 66, 68, 69, 70, 71, 72, 74, 75, 76, 77, 79, 80, 81, 83, 85, 86, 88, 90, 91, 92

Offset: 1

Author

Clark Kimberling, Jun 06 2025

Keywords

• nonn

Comments

Sequence b is A384662.

Examples

			b(1) = a(a(1))+a(1)+2 = 1+1+2 = 4;
b(2) = a(a(2))+a(2)+2 = 2+2+2 = 6;
b(3) = a(a(3))+a(3)+2 = 3+3+2 = 8;
b(4) = a(a(4))+a(4)+2 = 5+7+2 = 14.
		

Links

• Clark Kimberling, Complementary equations, J. Int. Seq. Article 07.1.4 (2007), 1-13.

Crossrefs

Cf. A136497, A136499, A136500, A384662, A384663, A384664.