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Search: id:A096020
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| A096020 |
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Number of Pythagorean quintuples mod n; i.e. number of solutions to v^2 + w^2 + x^2 + y^2 = z^2 mod n. |
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+0
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| 1, 16, 81, 192, 625, 1296, 2401, 3072, 6723, 10000, 14641, 15552, 28561, 38416, 50625, 47104, 83521, 107568, 130321, 120000, 194481, 234256, 279841, 248832, 393125, 456976, 544563, 460992, 707281, 810000, 923521, 753664
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OFFSET
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1,2
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MATHEMATICA
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Table[cnt=0; Do[If[Mod[v^2+w^2+x^2+y^2-z^2, n]==0, cnt++ ], {v, 0, n-1}, {w, 0, n-1}, {x, 0, n-1}, {y, 0, n-1}, {z, 0, n-1}]; cnt, {n, 30}]
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CROSSREFS
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Cf. A062775 (number of solutions to x^2 + y^2 = z^2 mod n), A096018 (number of solutions to w^2 + x^2 + y^2 = z^2 mod n).
Adjacent sequences: A096017 A096018 A096019 this_sequence A096021 A096022 A096023
Sequence in context: A088040 A065771 A041490 this_sequence A016898 A017672 A055013
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KEYWORD
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mult,nonn
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), Jun 15 2004
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