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A183423
Ordering of the numbers in tree A183421; complement of A183422.
2
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
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
Sequence in context: A225554 A257019 A071977 * A109404 A377286 A221056
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jan 04 2011
STATUS
approved