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Search: id:A078255
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| A078255 |
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Squares with distinct digits. To make an infinite sequence, we also include m-digit numbers in which each digit occurs no more than ceil(m/10) times. |
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+0
5
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| 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 169, 196, 256, 289, 324, 361, 529, 576, 625, 729, 784, 841, 961, 1024, 1089, 1296, 1369, 1764, 1849, 1936, 2304, 2401, 2601, 2704, 2809, 2916, 3025, 3249, 3481, 3721, 4096, 4356, 4761, 5041, 5184, 5329, 5476, 6084, 6241
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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The largest square with no digit repeated more than m times, for m = 1 to 4: 99066^2 = 9814072356; 9994363488^2 = 99887301530267526144; 999944387118711^2 = 999888777330214565264406301521; 99999444387327303945^2 = 9999888877774166231060453541302412563025.
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EXAMPLE
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100116^2 = 10023213456 is a member because it has 11 digits,
ceil(11/10) = 2 and no digit occurs more than twice. This is the first member after 9814072356.
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CROSSREFS
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Cf. A075309.
Sequence in context: A014186 A052062 A052046 this_sequence A077356 A077357 A080160
Adjacent sequences: A078252 A078253 A078254 this_sequence A078256 A078257 A078258
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KEYWORD
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base,nonn,easy
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 24 2002
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EXTENSIONS
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Edited and extended by David Wasserman (dwasserm(AT)earthlink.net), Jun 27 2006
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