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A160081 Lodumo_5 of Fibonacci numbers. 0

%I #22 Nov 29 2023 18:56:05

%S 0,1,6,2,3,5,8,13,11,4,10,9,14,18,7,15,12,17,19,16,20,21,26,22,23,25,

%T 28,33,31,24,30,29,34,38,27,35,32,37,39,36,40,41,46,42,43,45,48,53,51,

%U 44,50,49,54,58,47,55,52,57,59,56,60,61,66,62,63,65,68,73,71,64,70,69,74

%N Lodumo_5 of Fibonacci numbers.

%C Permutation of nonnegative integers.

%H OEIS wiki, <a href="/wiki/Lodumo_transform">Lodumo transform</a>

%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the nonnegative numbers</a>.

%H <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,-1,-1,2,0,-2,0,2,-1,-1,1,1,-1).

%F a(n) = lod_5(A000045(n)).

%F a(n+20) = a(n) + 20. - _Philippe Deléham_, Nov 28 2023

%F From _Thomas Scheuerle_, Nov 28 2023: (Start)

%F a(n) = a(n-1) + a(n-2) - a(n-3) - a(n-4) + 2*a(n-5) - 2*a(n-7) + 2*a(n-9) - a(n-10) - a(n-11) + a(n-12) + a(n-13) - a(n-14).

%F G.f.: x*(4*x^12-3*x^11-2*x^10+8*x^9-x^8-4*x^7-7*x^6+6*x^5+7*x^4-4*x^3-5*x^2+5*x+1) / (x^14-x^13-x^12+x^11+x^10-2*x^9+2*x^7-2*x^5+x^4+x^3-x^2-x+1). (End)

%Y Cf. A000045, A082116.

%K easy,nonn

%O 0,3

%A _Philippe Deléham_, May 01 2009

%E Corrected by _R. J. Mathar_, May 02 2009

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)