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A209411 Number of 2 x 2 matrices M such that M*transpose(M) == 0 mod n. 3
1, 4, 1, 16, 49, 4, 1, 64, 81, 196, 1, 16, 337, 4, 49, 256, 577, 324, 1, 784, 1, 4, 1, 64, 1825, 1348, 81, 16, 1681, 196, 1, 1024, 1, 2308, 49, 1296, 2737, 4, 337, 3136, 3361, 4, 1, 16, 3969, 4, 1, 256, 2401, 7300, 577, 5392, 5617, 324, 49, 64, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Joerg Arndt, Table of n, a(n) for n = 1..500

MATHEMATICA

gg[n_] := gg[n] = Flatten[Table[{{x, y}, {z, t}}, {x, n}, {y, n}, {t, n}, {z, n}], 3]; nil[n_] := nil[n] = Length@gg[n][[Select[Range[Length[gg[n]]], Mod[gg[n][[#]].Transpose[gg[n][[#]]], n] == {{0, 0}, {0, 0}} &]]]; Table[Print[nil[n]]; nil[n], {n, 1, 22}]

CROSSREFS

Cf. A182039.

Sequence in context: A002568 A111661 A072651 * A093035 A301624 A126791

Adjacent sequences:  A209408 A209409 A209410 * A209412 A209413 A209414

KEYWORD

nonn,mult

AUTHOR

José María Grau Ribas, Mar 08 2012

EXTENSIONS

Keyword:mult added by Andrew Howroyd, Aug 02 2018

STATUS

approved

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Last modified August 23 11:47 EDT 2019. Contains 326222 sequences. (Running on oeis4.)