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Search: id:A006451
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| A006451 |
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Solution to a diophantine equation.
(Formerly M1472)
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+0
4
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| 0, 2, 5, 15, 32, 90, 189, 527, 1104, 3074, 6437, 17919, 37520, 104442, 218685, 608735, 1274592, 3547970, 7428869, 20679087, 43298624, 120526554, 252362877, 702480239, 1470878640, 4094354882, 8572908965, 23863649055, 49966575152
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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A. J. Gottlieb, How four dogs meet in a field, etc., Technology Review, Jul/August 1973 pp. 73-74.
J. O. Shallit, personal communication.
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LINKS
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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.
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FORMULA
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a(n)=6a(n-2)-a(n-4)+2 with a(0)=0, a(1)=2, a(2)=5, a(3)=15. - Zak Seidov, Apr 15 2008
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MAPLE
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A006451:=z*(-2-3*z+2*z**2+z**3)/(z-1)/(z**2+2*z-1)/(z**2-2*z-1); [Conjectured by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Cf. A006452, A006454.
Sequence in context: A078528 A077686 A034499 this_sequence A000962 A118387 A034522
Adjacent sequences: A006448 A006449 A006450 this_sequence A006452 A006453 A006454
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KEYWORD
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nonn,easy
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AUTHOR
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njas and Jeffrey Shallit
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), Feb 07 2001
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