%I #5 Jun 24 2014 01:08:21
%S 1,1,3,6,58,861,373141,525901096,92709102076260838,
%T 65190291939775823483614581,
%U 1416591403847441323962646602694082865630539057192433
%N Number of stereo alkanes with combinatorial diameter n.
%D 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.
%t 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]
%Y Cf. A000602, A000628, A067608, A067610.
%K nonn
%O 1,3
%A Peter Freyd (pjf(AT)saul.cis.upenn.edu), Feb 02 2002
%E Edited by _Dean Hickerson_, Feb 11 2002