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

1,2

Comments

Sequence b is A384662.

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)+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.

Crossrefs

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

Sequence in context: A089743 A080587 A342190 * A175415 A304721 A063464

Adjacent sequences: A384658 A384659 A384660 * A384662 A384663 A384664

Keyword

nonn

Author

Clark Kimberling, Jun 06 2025

Status

approved