A183423 Ordering of the numbers in tree A183421; complement of A183422.

1, 3, 5, 7, 8, 10, 11, 13, 15, 17, 19, 21, 23, 24, 26, 28, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 48, 50, 52, 54, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 80, 82, 84, 86, 88, 89, 91, 93, 95, 97, 98, 99, 101, 103, 105, 107, 108, 109, 111, 113, 115, 117, 118, 120, 122, 124, 126, 128, 129, 131, 133, 135, 137, 139, 140, 142, 143, 145, 147, 149, 151, 152, 154, 155, 157, 159, 161, 163, 164, 166, 167, 168, 170, 172, 174, 176, 177, 179, 180, 181, 183, 185, 187, 189, 190, 192, 193, 195, 197, 199

Offset

1,2

Links

Table of n, a(n) for n=1..113.

Formula

The monotonic ordering of the numbers in the set S generated by these rules: 1 is in S, and if n is in S, then n^2+4*n+2 and n+Floor[1/2+sqrt(n+2)] is in S.

Example

See A183422.

Mathematica

 nn=200; t={1}; t0=t; While[t=Select[Union[t, (t^2+4t+2), t+Floor[1/2+(t+2)^(1/2)]], #<=nn&]; t0 !=t, t0=t]; t

Crossrefs

Cf. A183421, A183422.

Sequence in context: A225554 A257019 A071977 * A109404 A221056 A288467

Adjacent sequences: A183420 A183421 A183422 * A183424 A183425 A183426

Keyword

nonn

Author

Clark Kimberling, Jan 04 2011

Status

approved