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A065187 "Greedy Dragons" permutation of the natural numbers, inverse of A065186. 5
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, 29, 27, 30, 28, 31, 34, 32, 35, 33, 36, 39, 37, 40, 38, 41, 44, 42, 45, 43, 46, 49, 47, 50, 48, 51, 54, 52, 55, 53, 56, 59, 57, 60, 58, 61, 64, 62, 65, 63, 66, 69, 67, 70, 68, 71, 74 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Michael De Vlieger, Table of n, a(n) for n = 1..10000

Index entries for sequences that are permutations of the natural numbers

FORMULA

From Chai Wah Wu, Oct 23 2017: (Start)

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

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

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

MATHEMATICA

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 *)

CROSSREFS

Sequence in context: A123152 A243855 A267185 * A185511 A199855 A127914

Adjacent sequences:  A065184 A065185 A065186 * A065188 A065189 A065190

KEYWORD

nonn

AUTHOR

Antti Karttunen, Oct 19 2001

STATUS

approved

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Last modified November 22 05:36 EST 2017. Contains 295076 sequences.