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Search: id:A147759
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| A147759 |
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Palindromes formed from the reflected decimal expansion of the infinite concatenation of 1's and 0's. |
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+0
7
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| 1, 11, 101, 1001, 10101, 101101, 1010101, 10100101, 101010101, 1010110101, 10101010101, 101010010101, 1010101010101, 10101011010101, 101010101010101, 1010101001010101, 10101010101010101, 101010101101010101
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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a(n)= 11*a(n-1)-20*a(n-2)+110*a(n-3)-100*a(n-4). G.f.: x/((1-x)(1-10x)(1+10x^2)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 20 2009]
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EXAMPLE
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n .... Successive digits of a(n)
1 ............. ( 1 )
2 ............ ( 1 1 )
3 ........... ( 1 0 1 )
4 .......... ( 1 0 0 1 )
5 ......... ( 1 0 1 0 1 )
6 ........ ( 1 0 1 1 0 1 )
7 ....... ( 1 0 1 0 1 0 1 )
8 ...... ( 1 0 1 0 0 1 0 1 )
9 ..... ( 1 0 1 0 1 0 1 0 1 )
10 ... ( 1 0 1 0 1 1 0 1 0 1 )
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CROSSREFS
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Cf. A000533, A094028, A135577, A138120, A138144, A138145, A138146, A138721, A138826, A147757.
Sequence in context: A116098 A116129 A000533 this_sequence A147757 A089183 A164046
Adjacent sequences: A147756 A147757 A147758 this_sequence A147760 A147761 A147762
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KEYWORD
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base,easy,nonn
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AUTHOR
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Omar E. Pol (info(AT)polprimos.com), Nov 11 2008
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