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A122986
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Squares mod 1000.
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7
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0, 1, 4, 9, 16, 24, 25, 36, 41, 44, 49, 56, 64, 76, 81, 84, 89, 96, 100, 104, 116, 121, 124, 129, 136, 144, 156, 161, 164, 169, 176, 184, 196, 201, 204, 209, 216, 224, 225, 236, 241, 244, 249, 256, 264, 276, 281, 284, 289, 296, 304, 316, 321, 324, 329, 336, 344
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OFFSET
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1,3
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COMMENTS
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Possible last three digits of n^2 (leading zeros omitted).
Range of A174452; A010461 is a subset; and also all squares less than 1000 belong to this sequence; the sequence is finite with A000993(3)=159 terms: a(159)=996 is the last term.
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LINKS
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R. Zumkeller, Table of n, a(n) for n = 1..159 (full sequence)
Eric Weisstein's World of Mathematics, Square Numbers.
Index entries for sequences related to final digits of numbers
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EXAMPLE
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The last three digits of n^2 can be: 000, 001, 236, 241, 996, etc... but not 002, 003, 237, 238 etc...
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MAPLE
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s:={}: for n from 0 to 999 do s:=s union {n^2 mod 1000}: od: op(s); # Nathaniel Johnston, Jun 22 2011
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CROSSREFS
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Cf. A036688, A010382, A010411, A010462, A010421, A174452.
Cf. A006716, A053975, A027676, A027678, A122987, A122988.
Sequence in context: A168086 A176238 A139588 * A066427 A161697 A078593
Adjacent sequences: A122983 A122984 A122985 * A122987 A122988 A122989
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KEYWORD
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base,fini,full,easy,nonn
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AUTHOR
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Sergio Pimentel, Sep 22 2006
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EXTENSIONS
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More terms and additional comments from Reinhard Zumkeller, Mar 21 2010
Edited by N. J. A. Sloane, Apr 10 2010
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STATUS
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approved
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