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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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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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); [S. Plouffe in his 1992 dissertation for offset zero.]
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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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N. J. A. Sloane (njas(AT)research.att.com).
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