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A002798 a(n)=a(n-2)+a(n-3)-a(n-5).
(Formerly M5055 N2186)
+0
1
18, 45, 69, 96, 120, 147, 171, 198, 222, 249, 273, 300, 324, 351, 375, 402, 426, 453, 477, 504, 528, 555, 579, 606, 630, 657, 681, 708, 732, 759, 783, 810, 834, 861, 885, 912, 936, 963, 987, 1014, 1038, 1065, 1089 (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.

Ehrhart, E.; Sur un probleme de geometrie diophantienne lineaire II. Systemes diophantiens lineaires, J. Reine Angew. Math. 227 1967 25-49.

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

A002798:=3*(6+9*z+2*z**2)/(z+1)/(z-1)**2; [Conjectured by S. Plouffe in his 1992 dissertation.]

CROSSREFS

Equals 6*A007310(n) + 3*A047208(n).

Sequence in context: A114814 A095739 A055577 this_sequence A124388 A075284 A057444

Adjacent sequences: A002795 A002796 A002797 this_sequence A002799 A002800 A002801

KEYWORD

nonn

AUTHOR

njas, Simon Plouffe (plouffe(AT)math.uqam.ca)

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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