A160080 Lodumo_4 of Fibonacci numbers.

0, 1, 5, 2, 3, 9, 4, 13, 17, 6, 7, 21, 8, 25, 29, 10, 11, 33, 12, 37, 41, 14, 15, 45, 16, 49, 53, 18, 19, 57, 20, 61, 65, 22, 23, 69, 24, 73, 77, 26, 27, 81, 28, 85, 89, 30, 31, 93, 32, 97, 101, 34, 35, 105, 36, 109, 113, 38, 39, 117, 40, 121, 125, 42, 43, 129, 44, 133, 137, 46

Offset

0,3

Comments

Permutation of nonnegative numbers.

Links

Table of n, a(n) for n=0..69.

OEIS wiki, Lodumo transform

Index entries for sequences that are permutations of the nonnegative integers

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,2,0,0,0,0,0,-1).

Formula

a(n) = lod_4(A000045(n)).

From Philippe Deléham, Nov 30 2023: (Start)

a(n) = 2*a(n-6) - a(n-12) for n >= 12.

a(6*n) = 4*n, a(6*n+1) = 12*n+1, a(6*n+2) = 12*n+5, a(6*n+3) = 4*n+2, a(6*n+4) = 4*n+3, a(6*n+5) = 12*n+9.

G.f.: (x + 5*x^2 + 2*x^3 + 3*x^4 + 9*x^5 + 4*x^6 + 11*x^7 + 7*x^8 + 2*x^9 + x^10 + 3*x^11) / ((1-x)^2*(1+x+x^2)^2*(1+x^3)^2). (End)

Crossrefs

Cf. A004767, A008586, A016825, A017533, A017581, A017629, A079343.

Sequence in context: A377088 A261026 A378714 * A026247 A354236 A385938

Adjacent sequences: A160077 A160078 A160079 * A160081 A160082 A160083

Keyword

easy,nonn

Author

Philippe Deléham, May 01 2009

Status

approved