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A063010 Carryless binary square of n; also Moser-de Bruijn sequence written in binary. +0
4
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; listen)
OFFSET

0,3

COMMENT

Numbers that are sums of distinct powers of 100. - David Wasserman (dwasserm(AT)earthlink.net), Feb 26 2008

FORMULA

a(n)=A062033(n)/10 i.e. with final zero removed.

EXAMPLE

a(11)=1000101, since 11 in binary is 1011 and binary carryless sum of 1011000, 0, 10110 and 1011 is 1000101.

CROSSREFS

Cf. Moser-de Bruijn sequence A000695, carryless decimal squares A059729, pre-carry binary squares A063009.

Sequence in context: A079112 A091254 A085251 this_sequence A094027 A092633 A108343

Adjacent sequences: A063007 A063008 A063009 this_sequence A063011 A063012 A063013

KEYWORD

base,nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Jul 03 2001

EXTENSIONS

More terms from David Wasserman (dwasserm(AT)earthlink.net), Feb 26 2008

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.


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