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Search: id:A008852
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| A008852 |
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Numbers n such that n^2 and n have same last 2 digits. |
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+0
1
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| 0, 1, 25, 76, 100, 101, 125, 176, 200, 201, 225, 276, 300, 301, 325, 376, 400, 401, 425, 476, 500, 501, 525, 576, 600, 601, 625, 676, 700, 701, 725, 776, 800, 801, 825, 876, 900, 901, 925, 976, 1000, 1001, 1025, 1076, 1100, 1101, 1125, 1176, 1200, 1201
(list; graph; listen)
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OFFSET
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1,3
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REFERENCES
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L. E. Dickson, History of the Theory of Numbers. Carnegie Institute Public. 256, Washington, DC, Vol. 1, 1919; Vol. 2, 1920; Vol. 3, 1923, see vol. 1, p. 459.
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FORMULA
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a(4n)=100n, a(4n+1)=100n+1, a(4n+2)=100n+25, a(4n+3)=100n+76. - Frank Adams-Watters (FrankTAW(AT)Netscape.net), Mar 13 2006
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MAPLE
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for n to 2000 do if n^2 - n mod 100 = 0 then print(n); fi; od;
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MATHEMATICA
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Select[Range[1200], Mod[ #, 100] == Mod[ #^2, 100] &] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 15 2006
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CROSSREFS
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Sequence in context: A053742 A123296 A118610 this_sequence A042226 A042224 A042228
Adjacent sequences: A008849 A008850 A008851 this_sequence A008853 A008854 A008855
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KEYWORD
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nonn,easy,base
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AUTHOR
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njas
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