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A002570 From a definite integral.
(Formerly M4090 N1698)
1
1, 1, 6, 11, 36, 85, 235, 600, 1590, 4140, 10866, 28416, 74431, 194821, 510096, 1335395, 3496170, 9153025, 23963005, 62735880 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

REFERENCES

Shenton, L. R. A determinantal expansion for a class of definite integral. V. Recurrence relations. Proc. Edinburgh Math. Soc. (2) 10 (1957), 167-188.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

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

A002570:=-1/(z-1)/(z**2-3*z+1)/(1+z)**3; [Conjectured by S. Plouffe in his 1992 dissertation.]

CROSSREFS

Sequence in context: A166702 A130667 A108698 * A038265 A015440 A193488

Adjacent sequences:  A002567 A002568 A002569 * A002571 A002572 A002573

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 14 23:16 EST 2012. Contains 205687 sequences.