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Search: id:A014563
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| A014563 |
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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)=1. |
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9
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| 1, 4, 13, 14, 31, 36, 54, 96, 113, 311, 487, 854, 1036, 1277, 1646, 3214, 8351, 10456, 11414, 11536, 11563, 17606, 17813, 30287, 36786, 41544, 54927, 56547, 56586, 57363, 62469, 62634, 72813, 72897, 76944, 78345, 95061, 97944, 100963, 101944
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Provably infinite. - David W. Wilson (davidwwilson(AT)comcast.net), Jan 29, 2002
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EXAMPLE
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13^2 = 169 and 14 is the next smallest number whose square (in this case 196) contains the digits 1,6,9.
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CROSSREFS
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If "contained in" is replaced by "properly contained in" we get A065297.
Cf. A066825, A067633, A067634, A067635, A065297.
Sequence in context: A135783 A135406 A066825 this_sequence A066774 A075339 A089733
Adjacent sequences: A014560 A014561 A014562 this_sequence A014564 A014565 A014566
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KEYWORD
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base,nonn,nice
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AUTHOR
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Marc Paulhus (paulhus(AT)wanadoo.nl), Jan 29, 2002
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