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Search: id:A063009
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| A063009 |
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Write n in binary then square as if written in base 10. |
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+0
2
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| 0, 1, 100, 121, 10000, 10201, 12100, 12321, 1000000, 1002001, 1020100, 1022121, 1210000, 1212201, 1232100, 1234321, 100000000, 100020001, 100200100, 100220121, 102010000, 102030201, 102212100, 102232321, 121000000, 121022001
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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The original description was: "Pre-carry binary squares: write n in binary then square as if written in a base large enough to avoid carries". But I changed it, since I prefer to work in base 10. There is no difference until a(1023). - njas, May 21, 2002
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FORMULA
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a(2n)=100*a(n); a(2n+1)=100*a(n)+20*A007088(n)+1.
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EXAMPLE
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a(11)=1022121 since 11 written in binary is 1011, and 1011^2=1011000+0+10110+1011=1022121. a(1023) = 1111111111^2 = 1234567900987654321.
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CROSSREFS
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Cf. A007088 for binary numbers, A001737 for binary squares (post-carry), A063010 for carryless binary squares.
Sequence in context: A088477 A071987 A095633 this_sequence A066139 A037139 A109881
Adjacent sequences: A063006 A063007 A063008 this_sequence A063010 A063011 A063012
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KEYWORD
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base,nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Jul 04 2001
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