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Search: id:A099186
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| A099186 |
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Iterated icosahedral numbers: a(0)=1, a(1) = 12, a(n+1)=A006564(a(n)). |
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2
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| 1, 12, 3972, 156624027132, 9605393649115032262909140007773492, 22155701852450388728149560214796966354816907764691261117432803835686198862327507\ 45465064720338596867052
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OFFSET
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0,2
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COMMENT
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This starts at a(1)=A006564(2)=12. An alternative, for example: if a(1) were set to A006564(3) = 48,
then a(2) = A006564(48) = 270768, a(3) = A006564(270768) = 49628416238058288;
a(4) = A006564(49628416238058288) = 305584454132546884153602392143848716431702444690608 etc.
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REFERENCES
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Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, p. 50, 1996.
J. V. Post, "Iterated Triangular Numbers", preprint.
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LINKS
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H. K. Kim, On Regular Polytope Numbers, Proc. Amer. Math. Soc. 131 (2003), 65-75. MR 1929024
J. V. Post, Table of Polytope Numbers, Sorted, Through 1,000,000.
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EXAMPLE
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a(2) = A006564(a(1)) = A006564(12) = 12*(5*12^2 - 5*12 + 2)/2 = 3972.
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CROSSREFS
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Cf. A007501, A006564.
Sequence in context: A077297 A012609 A159395 this_sequence A105067 A096732 A127233
Adjacent sequences: A099183 A099184 A099185 this_sequence A099187 A099188 A099189
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 15 2004
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EXTENSIONS
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Definition and comments condensed by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 09 2009
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