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A006451 Solution to a diophantine equation.
(Formerly M1472)
+0
4
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)
OFFSET

0,2

REFERENCES

A. J. Gottlieb, How four dogs meet in a field, etc., Technology Review, Jul/August 1973 pp. 73-74.

J. O. Shallit, personal communication.

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.

FORMULA

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

MAPLE

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.]

CROSSREFS

Cf. A006452, A006454.

Sequence in context: A078528 A077686 A034499 this_sequence A000962 A118387 A034522

Adjacent sequences: A006448 A006449 A006450 this_sequence A006452 A006453 A006454

KEYWORD

nonn,easy

AUTHOR

njas and Jeffrey Shallit

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), Feb 07 2001

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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