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A182586 a(n) is the unique nonnegative integer m such that the Grundy function of the position [n,m] for the Wythoff game evaluates to 1. 0
0, 2, 6, 8, 7, 3, 5, 4, 14, 16, 19, 21, 20, 9, 25, 10, 29, 31, 11, 13, 12, 33, 37, 40, 15, 41, 45, 47, 17, 50, 18, 49, 22, 55, 58, 60, 23, 63, 61, 24, 26, 69, 71, 70, 27, 76, 28, 77, 32, 30, 82, 84, 87, 89, 34, 92, 90, 35, 97, 36, 39, 99, 38, 103, 105, 108, 110, 109 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..68.

MAPLE

mex:=proc(S) local s:

for s from 0 while member(s, S) do od:

s:

end:

GW:=proc(a, b) local i:

option remember:

mex({seq( GW(a-i, b), i=1..a), seq(GW(a, b-i), i=1..b),

seq(GW(a-i, b-i), i=1..min(a, b))}):

end:

W1:=proc(i) local b:

for b from 0 while GW(i, b)<>1 do od:

b:

end:

#W1seq(N): list L of length N such that [i, L[i]] is the

#unique position with grundy function value 1.

W1seq:=proc(N) local i:

[seq(W1(i), i=1..N)]:

end:

CROSSREFS

Sequence in context: A029671 A278081 A154970 * A011224 A272097 A236676

Adjacent sequences:  A182583 A182584 A182585 * A182587 A182588 A182589

KEYWORD

nonn

AUTHOR

John Y. Kim, May 06 2012

STATUS

approved

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Last modified April 19 08:34 EDT 2019. Contains 322241 sequences. (Running on oeis4.)