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Search: id:A006062
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| A006062 |
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Star-hex numbers.
(Formerly M5265)
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+0
1
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| 1, 37, 1261, 42841, 1455337, 49438621, 1679457781, 57052125937, 1938092824081, 65838103892821, 2236557439531837, 75977114840189641
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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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. 22.
H. J. Hindin, Stars, hexes, triangular numbers and Pythagorean triples, J. Rec. Math., 16 (1983/1984), 191-193.
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LINKS
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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.
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FORMULA
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a(n) = 34*a(n-1)-a(n-2)+4.
a(n)=A001109(n-1)^2+A001109(n)^2;e.g., 1261=6^2+35^2; a(n)=A001652(n-1)*A046090(n-1)+A001653(n-1)^2;e.g., 1261=20*21+29^2; - Charlie Marion (charliemath(AT)optonline.net) Aug 03 2005
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MAPLE
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A006062:=-(z+1)**2/(z-1)/(z**2-34*z+1); [Conjectured by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Sequence in context: A101631 A005390 A099201 this_sequence A078303 A009981 A097315
Adjacent sequences: A006059 A006060 A006061 this_sequence A006063 A006064 A006065
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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