A134986 a(n) = smallest integer m not equal to n such that n = (floor(n^2/m) + m)/2.

2, 3, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 65

Offset

1,1

Comments

This sequence complements A000037. - Alexander R. Povolotsky, Feb 10 2008

Links

Joshua Zucker, Feb 23 2008, Table of n, a(n) for n = 1..200

Example

a(1)=2 because (floor(1/2) + 2)/2 = 1.
a(2)=3 because (floor(4/3) + 3)/2 = 2.
a(3)=2 because (floor(9/2) + 2)/2 = 3.
a(4)=3 because (floor(16/3) + 3)/2 = 4.
a(5)=4 because (floor(25/4) + 4)/2 = 5.
a(6)=5 because (floor(36/5) + 5)/2 = 6.
a(7)=5 because (floor(49/5) + 5)/2 = 7.

Crossrefs

Cf. A000037.

Sequence in context: A187180 A256992 A261323 * A336860 A216209 A289172

Adjacent sequences: A134983 A134984 A134985 * A134987 A134988 A134989

Keyword

nonn

Author

Alexander R. Povolotsky, Feb 05 2008; corrected Feb 07 2008 at the suggestion of Carl R. White

Extensions

More terms from Joshua Zucker, Feb 23 2008

Status

approved