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A065187 "Greedy Dragons" permutation of the natural numbers, inverse of A065186. 5

%I

%S 1,4,2,5,3,6,9,7,10,8,11,14,12,15,13,16,19,17,20,18,21,24,22,25,23,26,

%T 29,27,30,28,31,34,32,35,33,36,39,37,40,38,41,44,42,45,43,46,49,47,50,

%U 48,51,54,52,55,53,56,59,57,60,58,61,64,62,65,63,66,69,67,70,68,71,74

%N "Greedy Dragons" permutation of the natural numbers, inverse of A065186.

%H Michael De Vlieger, <a href="/A065187/b065187.txt">Table of n, a(n) for n = 1..10000</a>

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

%F From _Chai Wah Wu_, Oct 23 2017: (Start)

%F a(1) = 1, a(2) = 4, a(3) = 2, a(4) = 5, a(5) = 3; for n > 5, a(n) = a(n-5) + 5.

%F a(n) = a(n-1) + a(n-5) - a(n-6) for n > 6.

%F G.f.: x*(2*x^5 - 2*x^4 + 3*x^3 - 2*x^2 + 3*x + 1)/((x - 1)*(x^5 - 1)). (End)

%t Rest@ CoefficientList[Series[x (2 x^5 - 2 x^4 + 3 x^3 - 2 x^2 + 3 x + 1)/((x - 1) (x^5 - 1)), {x, 0, 72}], x] (* _Michael De Vlieger_, Oct 23 2017 *)

%K nonn

%O 1,2

%A _Antti Karttunen_, Oct 19 2001

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Last modified December 1 11:03 EST 2021. Contains 349429 sequences. (Running on oeis4.)