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 A209073 T(n,k) = number of n-bead necklaces labeled with numbers -k..k not allowing reversal, with sum zero and avoiding the pattern z z+1 z+2. 12
 1, 1, 2, 1, 3, 2, 1, 4, 6, 5, 1, 5, 12, 22, 8, 1, 6, 20, 57, 70, 19, 1, 7, 30, 122, 276, 265, 39, 1, 8, 42, 223, 766, 1465, 1007, 95, 1, 9, 56, 366, 1722, 5239, 8008, 4055, 223, 1, 10, 72, 563, 3378, 14431, 37108, 45408, 16593, 554, 1, 11, 90, 820, 6006, 33469, 125428 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Table starts 1 1 1 1 1 1 1 1 1 1 2 3 4 5 6 7 8 9 10 11 2 6 12 20 30 42 56 72 90 110 5 22 57 122 223 366 563 820 1143 1544 8 70 276 766 1722 3378 6006 9928 15514 23180 19 265 1465 5239 14431 33469 68723 128845 225127 371859 39 1007 8008 37108 125428 344618 817594 1738838 3397900 6206228 95 4055 45408 271732 1125484 3660116 10030238 24194286 52868486 106770774 LINKS R. H. Hardin, Table of n, a(n) for n = 1..166 EXAMPLE Some solutions for n=6, k=6: -6 -5 -5 -4 -6 -6 -4 -5 -6 -5 -5 -6 -6 -4 -4 -6 5 6 -1 2 -2 1 0 2 -1 4 -1 3 -1 -3 5 4 2 1 0 1 -5 5 4 -1 2 0 -5 3 5 5 -2 -4 -3 -4 5 1 4 -4 3 -5 4 2 2 0 2 1 2 3 3 3 -1 -2 6 0 0 5 -2 1 4 -6 5 2 0 -1 -1 -1 2 2 3 4 -3 4 3 -2 5 6 -5 -1 -1 4 CROSSREFS Row 3 is A002378. Row 4 is A208946. Sequence in context: A066121 A039911 A208945 * A332077 A220901 A002335 Adjacent sequences: A209070 A209071 A209072 * A209074 A209075 A209076 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Mar 04 2012 STATUS approved

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Last modified December 5 09:29 EST 2023. Contains 367589 sequences. (Running on oeis4.)