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 A172184 Table read by antidiagonals: T(n,k) = number of prime knots with determinant 2n+1 and signature 2k. 7
 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 2, 0, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,11 REFERENCES Peter R. Cromwell, Knots and Links, Cambridge University Press, November 15, 2004. See p. 146. Fig. 6.6. LINKS EXAMPLE T(0,0) = 1 because the only prime knot with determinant 2*0+1=1 and s=0 is 0_1, the unknot. T(1,1) = 1 because the only prime knot with determinant 2*1+1=3 and s=2 is 3_1, the left-handed trefoil. T(1,3) = 1 because the only prime knot with determinant 2*1+1=3 and s=6 is 8_19. Table begins: ========================= Det…s=0…s=2…s=4…s=6…s=8 ========================= 1..|…1…|…0…|…0…|…0…|…0 3..|…0…|…1…|…0…|…1…|…0 5..|…1…|…0…|…1…|…0…|…0 7..|…0…|…2…|…0…|…1…|…0 9..|…3…|…0…|…0…|…0…|…1 11|…0…|…2…|…0…|…0…|…0 13|…2…|…0…|…2…|…0…|…0 15|…0…|…3…|…0…|…0…|…0 17|…2…|…0…|…2…|…0…|…0 ========================= CROSSREFS Cf. A002863, A172293. Sequence in context: A232006 A202820 A113081 * A109865 A206713 A096874 Adjacent sequences:  A172181 A172182 A172183 * A172185 A172186 A172187 KEYWORD nonn,tabl,more AUTHOR Jonathan Vos Post, Nov 19 2010 EXTENSIONS Partially edited by N. J. A. Sloane, Jun 10 2019 STATUS approved

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Last modified September 23 11:36 EDT 2021. Contains 347612 sequences. (Running on oeis4.)