A160016 Lodumo_2 transform of A159833.

0, 2, 1, 4, 6, 8, 3, 10, 12, 14, 5, 16, 18, 20, 7, 22, 24, 26, 9, 28, 30, 32, 11, 34, 36, 38, 13, 40, 42, 44, 15, 46, 48, 50, 17, 52, 54, 56, 19, 58, 60, 62, 21, 64, 66, 68, 23, 70, 72, 74, 25, 76, 78, 80, 27, 82, 84, 86, 29, 88, 90, 92, 31, 94, 96, 98, 33, 100, 102, 104, 35, 106

Offset: 0

Author

Philippe Deléham, Apr 29 2009

Keywords

• easy
• nonn

Comments

Permutation of nonnegative integers.

Links

• Georg Fischer, Table of n, a(n) for n = 0..1000
• OEIS wiki, Lodumo transform
• Index entries for sequences that are permutations of the natural numbers
• Index entries for linear recurrences with constant coefficients, signature (0,0,0,2,0,0,0,-1).

Crossrefs

Cf. A159833.

Programs

Mathematica

LinearRecurrence[{0, 0, 0, 2, 0, 0, 0, -1}, {0, 2, 1, 4, 6, 8, 3, 10}, 100] (* Georg Fischer, Feb 15 2019 *)

Formula

a(n) = lod_2(A159833(n)).

G.f.: x*(2*x^6+x^5+4*x^4+6*x^3+4*x^2+x+2) / (x^8-2*x^4+1).

a(n) = a(n-4) + (period 4: repeat [6, 6, 2, 6]) for n >= 4. - Georg Fischer, Feb 15 2019

Extensions

Edited by Georg Fischer, Feb 15 2019