A384663 Solution of the complementary equation b(n)=a(a(n))+a(n)+3 with a(1)=1; this is the sequence a. Sequence b is A384664.

1, 2, 3, 4, 6, 8, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 24, 25, 26, 28, 29, 30, 32, 33, 35, 37, 39, 41, 42, 43, 44, 46, 48, 50, 51, 53, 55, 56, 57, 58, 60, 62, 63, 65, 66, 67, 68, 69, 71, 72, 74, 76, 77, 78, 80, 81, 83, 84, 85, 86, 87, 89, 90, 91, 92

Offset

1,2

Links

Table of n, a(n) for n=1..66.

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

Example

b(1) = a(a(1))+a(1)+3 = 1+1+3 = 5;
b(2) = a(a(2))+a(2)+3 = 2+2+3 = 7;
b(3) = a(a(3))+a(3)+3 = 3+3+3 = 9;
b(4) = a(a(4))+a(4)+3 = 4+4+3 = 11;
b(5) = a(a(5))+a(5)+3 = 6+8+3 = 17.

Crossrefs

Cf. A136499, A136500, A384661, A384662, A384664.

Sequence in context: A184103 A352318 A284038 * A285302 A026281 A066994

Adjacent sequences: A384660 A384661 A384662 * A384664 A384665 A384666

Keyword

nonn

Author

Clark Kimberling, Jun 11 2025

Status

approved