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A236553
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Number of involutions in the quaternion ring over Z/nZ with i^2=j^2=1.
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1
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1, 8, 14, 64, 32, 112, 58, 288, 110, 256, 134, 896, 184, 464, 448, 1056, 308, 880, 382, 2048, 812, 1072, 554, 4032, 752, 1472, 974, 3712, 872, 3584, 994, 4128, 1876, 2464, 1856, 7040, 1408, 3056, 2576, 9216, 1724, 6496, 1894, 8576, 3520, 4432, 2258, 14784, 2746
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OFFSET
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1,2
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COMMENTS
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Number of solutions modulo n of the equation system:
a^2 - b^2 + c^2 + d^2 = 1
2ab = 0
2ac = 0
2ad = 0.
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LINKS
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MATHEMATICA
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invo11[n_] := Length@Reduce[a^2 - b^2 + c^2 + d^2 ==1 && 2 a b== 0 && 2 a c == 0 && 2 a d == 0, Modulus -> n]; Table[invo11[n], {n, 1, 44}]
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CROSSREFS
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KEYWORD
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nonn,mult
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AUTHOR
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STATUS
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approved
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