A160079 Lodumo_3 of Fibonacci numbers.

0, 1, 4, 2, 3, 5, 8, 7, 6, 10, 13, 11, 9, 14, 17, 16, 12, 19, 22, 20, 15, 23, 26, 25, 18, 28, 31, 29, 21, 32, 35, 34, 24, 37, 40, 38, 27, 41, 44, 43, 30, 46, 49, 47, 33, 50, 53, 52, 36, 55, 58, 56, 39, 59, 62, 61, 42, 64, 67, 65, 45, 68, 71, 70, 48, 73, 76, 74, 51, 77, 80, 79, 54

Offset

0,3

Comments

Permutation of nonnegative integers.

Links

Table of n, a(n) for n=0..72.

OEIS wiki, Lodumo transform

Index entries for sequences that are permutations of the nonnegative integers

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

Formula

a(n) = lod_3(A000045(n)).

a(n) = 2*a(n-8) - a(n-16) for n >= 16. - Philippe Deléham, Mar 09 2023

a(8*n) = 6*n, a(8*n+1) = 9*n+1, a(8*n+2) = 9*n+4, a(8*n+3) = 9*n+2, a(8*n+4) = 6*n+3, a(8*n+5) = 9*n+5, a(8*n+6) = 9*n+8, a(8*n+7) = 9*n+7. - Philippe Deléham, Nov 24 2023

From Philippe Deléham, Nov 29 2023 : (Start)

a(n) = a(n-4) + a(n-8) - a(n-12) for n >= 12.

G.f. : (x + 4*x^2 + 2*x^3 + 3*x^4 + 4*x^5 + 4*x^6 + 5*x^7 + 3*x^8 + 4*x^9 + x^10 + 2*x^11) / (1 - x^4 - x^8 + x^12). (End)

Crossrefs

Cf. A000045, A082115, A160016, A160051, A367651 (inverse permutation).

Sequence in context: A275104 A010646 A284307 * A226939 A123403 A276957

Adjacent sequences: A160076 A160077 A160078 * A160080 A160081 A160082

Keyword

nonn,easy

Author

Philippe Deléham, May 01 2009

Status

approved