|
Search: id:A002571
|
|
|
| A002571 |
|
From a definite integral.
(Formerly M3802 N1553)
|
|
+0
3
|
|
| 1, 5, 10, 30, 74, 199, 515, 1355, 3540, 9276, 24276, 63565, 166405, 435665, 1140574, 2986074, 7817630, 20466835, 53582855, 140281751
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
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.
Shenton, L. R. A determinantal expansion for a class of definite integral. V. Recurrence relations. Proc. Edinburgh Math. Soc. (2) 10 (1957), 167-188.
|
|
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
|
Appears to have g.f. x/[(1-3x+x^2)(1+x)^2]. - R. Stephan, Apr 14 2004
a(n) = (-1)^n*Sum[(-1)^(i+1)*(Fibonacci[i]*Fibonacci[i+1]),{i,1,n+1}] - Alexander Adamchuk (alex(AT)lolmogorov.com), Jun 16 2006
|
|
MAPLE
|
A002571:=-(-1-4*z-z**2+z**3)/(z**2-3*z+1)/(1+z)**2; [Conjectured by S. Plouffe in his 1992 dissertation.]
|
|
CROSSREFS
|
Cf. A064831, A077916, A000045.
Adjacent sequences: A002568 A002569 A002570 this_sequence A002572 A002573 A002574
Sequence in context: A053818 A133629 A048010 this_sequence A077916 A056422 A032296
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
njas
|
|
|
Search completed in 0.002 seconds
|
