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Search: id:A067609
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| A067609 |
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Number of stereo alkanes with combinatorial diameter n. |
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+0
3
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| 1, 1, 3, 6, 58, 861, 373141, 525901096, 92709102076260838, 65190291939775823483614581, 1416591403847441323962646602694082865630539057192433
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OFFSET
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1,3
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REFERENCES
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R. Davies and P. J. Freyd, C_{167}H_{336} is The Smallest Alkane with More Realizable Isomers than the Observable Universe has Particles, Journal of Chemical Education, Vol. 66, April 1989, pp. 278-281.
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MATHEMATICA
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f[n_, k_] := Binomial[n+k-1, k]+Binomial[n, k]; rid[0]=1; rid[r_] := rid[r]=1+f[rid[r-1], 3]; rd[r_] := rid[r]-rid[r-1]; td[1]=1; td[r_] := If[EvenQ[r], Binomial[rd[r/2]+1, 2], f[rid[(r-1)/2], 4]-rd[(r-1)/2]f[rid[(r-3)/2], 3]-f[rid[(r-3)/2], 4]]; td/@Range[12]
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CROSSREFS
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Cf. A000602, A000628, A067608, A067610.
Sequence in context: A003098 A045914 A067610 this_sequence A012473 A058161 A012877
Adjacent sequences: A067606 A067607 A067608 this_sequence A067610 A067611 A067612
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KEYWORD
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nonn
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AUTHOR
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Peter Freyd (pjf(AT)saul.cis.upenn.edu), Feb 02 2002
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EXTENSIONS
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Edited by Dean Hickerson (dean(AT)math.ucdavis.edu), Feb 11 2002
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