A183420 -id:A183420 - cp's OEIS frontend

A183421 Second of two complementary trees generated by the squares; The other tree is A183420.

1, 7, 3, 79, 10, 23, 5, 6559, 88, 142, 13, 623, 28, 47, 8, 43046719, 6640, 8098, 97, 20734, 154, 223, 17, 390623, 648, 898, 33, 2399, 54, 98, 11

Offset: 1

Clark Kimberling, Jan 04 2011

See A183420.

			First three levels:
.............1
........7............3
.....79...10......23.....5

Cf. A183420, A183169, A183423.

See the formulas at A183169 and A183423.

A183422 Ordering of the numbers in the tree A183420; complement of A183423.

Original entry on oeis.org

2, 4, 6, 9, 12, 14, 16, 18, 20, 22, 25, 27, 30, 32, 34, 36, 38, 40, 42, 44, 46, 49, 51, 53, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 81, 83, 85, 87, 90, 92, 94, 96, 100, 102, 104, 106, 110, 112, 114, 116, 119, 121, 123, 125, 127, 130, 132, 134, 136, 138, 141, 144, 146, 148, 150, 153, 156, 158, 160, 162, 165, 169, 171, 173, 175, 178, 182, 184, 186, 188, 191, 194, 196, 198, 200

Offset: 1

Clark Kimberling, Jan 04 2011

nonn

			The complementary trees A183420 and A183421 contain initial terms (2,14,4,254,18,34,6,...) and (1,7,3,79,10,23,5,...).  A183422 comes from arranging in increasing order the numbers in the first tree: (2,4,6,9,,12,14,...), these being complementary to the numbers in the second tree.

Cf. A183423, the complement of A183422.

 nn=200; t={2}; 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

The monotonic ordering of the numbers in the set S generated by these rules: 2 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.

cp's OEIS Frontend

A183421 Second of two complementary trees generated by the squares; The other tree is A183420.

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