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Search: id:A067975
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| A067975 |
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a(n+1) is the smallest number > a(n) such that the digits of a(n)^2 are all (with multiplicity) contained in the digits of a(n+1)^2, with a(0)=2. |
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3
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| 2, 7, 43, 136, 367, 1157, 1822, 3658, 5558, 6196, 9679, 10183, 11794, 17852, 20813, 28354, 32193, 42852, 53787, 55044, 55707, 55983, 57636, 58464, 61719, 70209, 95232, 96354, 96921, 96963, 101407, 114223, 114323, 133564, 162293, 170843
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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a(n) for n>0 remains the same when a(0)=3. If "contained in" is replaced by "properly contained in" we get A065298.
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EXAMPLE
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1157^2 = 1338649 and 1822 is the next smallest number whose square (in this case 3319684) contains the digits 1,3,3,8,6,4,9.
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CROSSREFS
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Cf. A065297, A014563, A067971, A065298, A067973.
Sequence in context: A108042 A152559 A001174 this_sequence A065298 A091877 A050631
Adjacent sequences: A067972 A067973 A067974 this_sequence A067976 A067977 A067978
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KEYWORD
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base,nonn
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AUTHOR
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Marc Paulhus (paulhus(AT)wanadoo.nl), Feb 05 2002
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