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A236553 Number of involutions in the quaternion ring over Z/nZ with i^2=j^2=1. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Number of solutions modulo n of the equation system:
a^2 - b^2 + c^2 + d^2 = 1
2ab = 0
2ac = 0
2ad = 0.
LINKS
MATHEMATICA
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}]
CROSSREFS
Sequence in context: A198307 A218555 A268160 * A050582 A128451 A177170
KEYWORD
nonn,mult
AUTHOR
STATUS
approved

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Last modified March 19 07:31 EDT 2024. Contains 370955 sequences. (Running on oeis4.)