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A086316
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Decimal expansion of estimate of the strongly triple-free set constant.
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0
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6, 1, 3, 4, 7, 5, 2, 6, 9, 2, 0, 2, 2, 3, 4, 4, 1, 6, 0, 1, 8, 0, 4, 1, 6, 6, 3, 8
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| S. R. Finch, Triple-Free Sets of Integers
J. Cassaigne and P. Zimmermann, Numerical Evaluation of the Strongly Triple-Free Constant (1996). [From S. R. Finch (Steven.Finch(AT)inria.fr), Feb 25 2009]
Eric Weisstein's World of Mathematics, Triple-Free Set
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EXAMPLE
| 0.613475269...
0.6134752692022344160180416638... [From S. R. Finch (Steven.Finch(AT)inria.fr), Feb 25 2009]
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MATHEMATICA
| f[k_, n_]:=1+Floor[FullSimplify[Log[n/3^k]/Log[2]]]; g[n_]:=Floor[FullSimplify[Log[n]/Log[3]]]; peven[n_]:=Sum[Quotient[f[k, n]+Mod[k+1, 2], 2], {k, 0, g[n]}]; podd[n_]:=Sum[Quotient[f[k, n]+Mod[k, 2], 2], {k, 0, g[n]}]; p[n_]:=Max[peven[n], podd[n]]; v[1]=1; j=1; k=1; n=4001; For[k=2, k=n, k++, If[2*v[k-j]<3^j, v[k]=2*v[k-j], {v[k]=3^j, j++}]]; Sum[p[v[n]]*(1/v[n]-1/v[n+1]), {n, 1, 4000}]/3 [From S. R. Finch (Steven.Finch(AT)inria.fr), Feb 25 2009]
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CROSSREFS
| A050295, A050296 [From S. R. Finch (Steven.Finch(AT)inria.fr), Feb 25 2009]
Sequence in context: A074453 A069608 A181166 * A021167 A085677 A188859
Adjacent sequences: A086313 A086314 A086315 * A086317 A086318 A086319
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KEYWORD
| nonn,cons,more
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AUTHOR
| Eric Weisstein (eric(AT)weisstein.com), Jul 15, 2003
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EXTENSIONS
| More terms from S. R. Finch (Steven.Finch(AT)inria.fr), Feb 25 2009
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