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Search: id:A008856
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| A008856 |
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Numbers n such that n^3 and n have same last 2 digits. |
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+0
1
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| 0, 1, 24, 25, 49, 51, 75, 76, 99, 100, 101, 124, 125, 149, 151, 175, 176, 199, 200, 201, 224, 225, 249, 251, 275, 276, 299, 300, 301, 324, 325, 349, 351, 375, 376, 399, 400, 401, 424, 425, 449, 451, 475, 476, 499, 500, 501, 524, 525, 549, 551, 575
(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(9n)=100n, a(9n+1)=100n+1, a(9n+2)=100n+24, a(9n+3)=100n+25, a(9n+4)=100n+49, a(9n+5)=100n+51, a(9n+6)=100n+75, a(9n+7)=100n+76, a(9n+8)=100n+99. - Frank Adams-Watters (FrankTAW(AT)Netscape.net), Mar 13 2006
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MAPLE
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for n to 1000 do if n^3 - n mod 100 = 0 then print(n); fi; od;
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CROSSREFS
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Sequence in context: A123608 A141587 A027729 this_sequence A022394 A042162 A042164
Adjacent sequences: A008853 A008854 A008855 this_sequence A008857 A008858 A008859
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KEYWORD
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nonn,easy,base
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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