login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A136497
Solution of the complementary equation b(n)=a(a(n))+a(n).
2
1, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 17, 18, 19, 21, 22, 23, 24, 26, 27, 28, 30, 32, 33, 34, 35, 37, 39, 41, 43, 44, 46, 47, 48, 50, 51, 53, 54, 56, 58, 59, 60, 62, 63, 65, 66, 68, 69, 70, 71, 72, 74, 75, 76, 77, 79, 81, 83, 84, 86, 87, 88, 89, 91, 92, 93, 94, 96, 97, 98, 99
OFFSET
1,2
REFERENCES
Clark Kimberling, "Complementary Equations," Journal of Integer Sequences 10 (2007) Article 07.1.4, 1-14.
EXAMPLE
b(1) = a(a(1))+a(1) = 1+1 = 2;
b(2) = a(a(2))+a(2) = 4+3 = 7;
b(3) = a(a(3))+a(3) = 5+4 = 9.
CROSSREFS
Cf. A136498.
Sequence in context: A073849 A288597 A297997 * A055563 A090161 A284746
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jan 01 2008
STATUS
approved