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A005711 a(n)=a(n-1)+a(n-9).
(Formerly M0479)
+0
6
1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 19, 24, 30, 37, 45, 54, 64, 76, 91, 110, 134, 164, 201, 246, 300, 364, 440, 531, 641, 775, 939, 1140, 1386, 1686, 2050, 2490, 3021, 3662, 4437, 5376, 6516, 7902, 9588, 11638, 14128, 17149, 20811, 25248 (list; graph; listen)
OFFSET

0,9

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.

Problem E3274, Amer. Math. Monthly, 95 (1988), 555.

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.

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 382

MAPLE

A005711:=-(1+z**8)/(-1+z+z**9); [Conjectured by S. Plouffe in his 1992 dissertation.]

ZL:=[S, {a = Atom, b = Atom, S = Prod(X, Sequence(Prod(X, b))), X = Sequence(b, card >= 8)}, unlabelled]: seq(combstruct[count](ZL, size=n), n=9..65); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 26 2008

CROSSREFS

Cf. A005710.

Sequence in context: A101170 A130224 A017903 this_sequence A059765 A064807 A007603

Adjacent sequences: A005708 A005709 A005710 this_sequence A005712 A005713 A005714

KEYWORD

nonn,easy

AUTHOR

njas

EXTENSIONS

More terms from Mohammad K. Azarian, azarian(AT)evansville.edu

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


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