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A063010
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Carryless binary square of n; also Moser-de Bruijn sequence written in binary.
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3
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0, 1, 100, 101, 10000, 10001, 10100, 10101, 1000000, 1000001, 1000100, 1000101, 1010000, 1010001, 1010100, 1010101, 100000000, 100000001, 100000100, 100000101, 100010000, 100010001, 100010100, 100010101, 101000000, 101000001
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Numbers that are sums of distinct powers of 100. - David Wasserman (dwasserm(AT)earthlink.net), Feb 26 2008
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LINKS
| David Applegate, Marc LeBrun and N. J. A. Sloane, Carryless Arithmetic (I): The Mod 10 Version
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FORMULA
| a(n)=A062033(n)/10 i.e. with final zero removed.
a(n)=Sum_k>=0 {A030308(n,k)*A098608(k)}. - From DELEHAM Philippe, Oct 15 2011.
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EXAMPLE
| a(11)=1000101, since 11 in binary is 1011 and binary carryless sum of 1011000, 0, 10110 and 1011 is 1000101.
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CROSSREFS
| Cf. Moser-de Bruijn sequence A000695, carryless decimal squares A059729, pre-carry binary squares A063009.
Sequence in context: A091254 A085251 A178530 * A094027 A092633 A108343
Adjacent sequences: A063007 A063008 A063009 * A063011 A063012 A063013
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KEYWORD
| base,nonn
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Jul 03 2001
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EXTENSIONS
| More terms from David Wasserman (dwasserm(AT)earthlink.net), Feb 26 2008
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