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Array read by antidiagonals: T(n,k) = number of primitive (aperiodic) reversible strings of length n using a maximum of k different symbols.
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1, 2, 0, 3, 1, 0, 4, 3, 4, 0, 5, 6, 15, 7, 0, 6, 10, 36, 39, 18, 0, 7, 15, 70, 126, 132, 29, 0, 8, 21, 120, 310, 540, 357, 70, 0, 9, 28, 189, 645, 1620, 2034, 1131, 126, 0, 10, 36, 280, 1197, 3990, 7790, 8316, 3276, 266, 0
Number of primitive (aperiodic) reversible strings with n beads using a maximum of three different colors.
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4
3, 3, 15, 39, 132, 357, 1131, 3276, 9945, 29508, 88935, 265668, 798252, 2391441, 7177584, 21523320, 64579920, 193709763, 581160255, 1743392040, 5230264026, 15690529437, 47071855131, 141214764600
Number of primitive (aperiodic) reversible strings with n beads using a maximum of four different colors.
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3
4, 6, 36, 126, 540, 2034, 8316, 32760, 131544, 524250, 2099196, 8388450, 33562620, 134217594, 536903100, 2147483520, 8590065660, 34359735816, 137439477756, 549755813250, 2199025344348, 8796093020154
Number of primitive (aperiodic) reversible strings with n beads using a maximum of five different colors.
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3
5, 10, 70, 310, 1620, 7790, 39370, 195300, 978050, 4882740, 24421870, 122069940, 610390620, 3051757490, 15258982680, 76293945000, 381470703120, 1907348623450, 9536748046870, 47683715818440
Number of primitive (aperiodic) reversible strings with n beads using a maximum of six different colors.
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3
6, 15, 120, 645, 3990, 23295, 140610, 839790, 5042610, 30232965, 181421850, 1088390415, 6530486970, 39182081385, 235093327980, 1410554953080, 8463334761210, 50779978307010, 304679900238330
Number of primitive (aperiodic) reversible string structures with n beads using a maximum of two different colors.
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3
1, 1, 2, 4, 9, 16, 35, 66, 133, 261, 527, 1032, 2079, 4123, 8244, 16440, 32895, 65639, 131327, 262380, 524762, 1049071, 2098175, 4195230, 8390646, 16779231, 33558392, 67112892, 134225919, 268443306
Number of primitive (aperiodic) reversible strings with n beads using exactly two different colors.
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1
0, 1, 4, 7, 18, 29, 70, 126, 266, 507, 1054, 2037, 4158, 8183, 16488, 32760, 65790, 131026, 262654, 524265, 1049524, 2097119, 4196350, 8388450, 16781292, 33554367, 67116784, 134217657, 268451838
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