A246698 Inverse of A246696 considered as a permutation of the positive integers.

1, 2, 3, 5, 4, 7, 6, 9, 8, 12, 10, 14, 11, 16, 13, 18, 15, 20, 17, 23, 19, 25, 21, 27, 22, 29, 24, 31, 26, 33, 28, 35, 30, 38, 32, 40, 34, 42, 36, 44, 37, 46, 39, 48, 41, 50, 43, 52, 45, 54, 47, 57, 49, 59, 51, 61, 53, 63, 55, 65, 56, 67, 58, 69, 60, 71, 62

Offset: 1

Author

Clark Kimberling, Sep 02 2014

Keywords

• nonn
• easy

Links

• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A246696, A246697.

Programs

Mathematica

z = 25; t[0, 0] = 1; t[1, 0] = 2; t[1, 1] = 3; t[n_, 0] := t[n, 0] = If[OddQ[n], t[n - 1, n - 2] + 2, t[n - 1, n - 1] + 2]; t[n_, 1] := t[n, 1] = If[OddQ[n], t[n - 1, n - 1] + 2, t[n - 1, n - 2] + 2]
t[n_, k_] := t[n, k] = t[n, k - 2] + 2;
u = Flatten[Table[t[n, k], {n, 0, z}, {k, 0, n}]] (* A246696 *)
Flatten[Table[Position[u, n], {n, 1, 80}]]  (* A246698 *)

Extensions

Definition corrected and edited by M. F. Hasler, Nov 17 2014