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A001581 Winning moves in Fibonacci nim.
(Formerly M3374 N1359)
+0
2
4, 10, 14, 20, 24, 30, 36, 40, 46, 50, 56, 60, 66, 72, 76, 82, 86, 92, 96, 102, 108, 112, 118, 122, 128, 132, 138, 150, 160, 169, 176, 186, 192, 196, 202, 206, 212, 218, 222, 228, 232, 238, 242, 248, 254, 260, 264, 270, 274, 280, 284, 290, 296, 300, 306, 310 (list; graph; listen)
OFFSET

1,1

REFERENCES

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

Pond and Howells, Fibonacci Nim, Fib. Quart., 3 (1965), 61-63.

LINKS

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

MAPLE

A001581:=2*(1+z)*(3*z**5+2*z**3+z**2+z+2)/(z**6+z**5+z**4+z**3+z**2+z+1)/(z-1)**2; [Conjectured by S. Plouffe in his 1992 dissertation.]

CROSSREFS

Cf. A120904.

Adjacent sequences: A001578 A001579 A001580 this_sequence A001582 A001583 A001584

Sequence in context: A116954 A102686 A099439 this_sequence A114335 A099355 A060031

KEYWORD

nonn,nice

AUTHOR

njas

EXTENSIONS

More terms from Frank Adams-Watters (FrankTAW(AT)Netscape.net), Jul 14 2006

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Last modified October 10 20:39 EDT 2008. Contains 144831 sequences.


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