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A001925 From rook polynomials.
(Formerly M4151 N1724)
+0
2
1, 6, 22, 64, 162, 374, 809, 1668, 3316, 6408, 12108, 22468, 41081, 74202, 132666, 235160, 413790, 723530, 1258225, 2177640, 3753096, 6444336, 11028792, 18818664, 32024977, 54367374, 92094334, 155688208, 262711866, 442556798 (list; graph; listen)
OFFSET

0,2

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.

J. Riordan, Discordant permutations, Scripta Math., 20 (1954), 14-23.

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

Riordan gives the g.f. (1+x)/[(1-x-x^2)^2*(1-x)^3].

MAPLE

A001925:=-(1+z)/(z**2+z-1)**2/(z-1)**3; [Conjectured by S. Plouffe in his 1992 dissertation.]

CROSSREFS

Cf. A002940.

Sequence in context: A120477 A053739 A055797 this_sequence A002663 A099855 A003469

Adjacent sequences: A001922 A001923 A001924 this_sequence A001926 A001927 A001928

KEYWORD

nonn

AUTHOR

njas

page 1

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Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.


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