|
Search: id:A006060
|
|
|
| A006060 |
|
Triangular star numbers.
(Formerly M5425)
|
|
+0
2
|
|
| 1, 253, 49141, 9533161, 1849384153, 358770992581, 69599723176621, 13501987525271953, 2619315980179582321, 508133798167313698381, 98575337528478677903653, 19123107346726696199610361
(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.
M. Gardner, Time Travel and Other Mathematical Bewilderments. Freeman, NY, 1988, p. 20.
|
|
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.
Eric Weisstein's World of Mathematics, Star Number
|
|
FORMULA
|
G.f.: [1+58x+x^2]/[(x-1)(1-194x+x^2)]. - Ralf Stephan, Apr 23 2004
|
|
MAPLE
|
A006060:=-(1+58*z+z**2)/(z-1)/(z**2-194*z+1); [Conjectured by S. Plouffe in his 1992 dissertation.]
|
|
CROSSREFS
|
Cf. A000567, A003154, A006061, A051673.
Sequence in context: A070193 A054737 A123013 this_sequence A077695 A110827 A062664
Adjacent sequences: A006057 A006058 A006059 this_sequence A006061 A006062 A006063
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
njas
|
|
EXTENSIONS
|
Extended by Eric Weisstein (eric(AT)weisstein.com), Mar 01, 2002
|
|
|
Search completed in 0.002 seconds
|
