[過去ﾛｸﾞ] 高校数学の質問スレ Part438 (1002ﾚｽ)
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576(1): 11/10(日)14:33 ID:fHmgT88F(1) AAS
Table[x=Floor[(Sqrt[2]+1)^(2n+1)/4];y=Ceiling[(Sqrt[2]+1)^(2n+1)/4];{x,y,Sqrt[x^2+y^2]},{n,1,20}]//Simplify
{{3, 4, 5}, {20, 21, 29}, {119, 120, 169}, {696, 697, 985}, {4059, 4060, 5741},
{23660, 23661, 33461}, {137903, 137904, 195025}, {803760, 803761, 1136689},
{4684659, 4684660, 6625109}, {27304196, 27304197, 38613965},
{159140519, 159140520, 225058681}, {927538920, 927538921, 1311738121},
{5406093003, 5406093004, 7645370045},{31509019100, 31509019101, 44560482149},
{183648021599, 183648021600, 259717522849},{1070379110496, 1070379110497, 1513744654945},
{6238626641379, 6238626641380, 8822750406821},{36361380737780, 36361380737781, 51422757785981},
{211929657785303, 211929657785304, 299713796309065},{1235216565974040, 1235216565974041, 1746860020068409}}

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