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Search: id:A153500
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| A153500 |
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First 3 terms coincide with A152756. For n>3, a(n) is the palindromic number formed from concatenation of 1, 0, A147759(n-3), 0, A147759(n-3), 0 and 1. |
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+0
4
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| 1, 101, 10001, 1010101, 101101101, 10101010101, 1010010100101, 101010101010101, 10101101010110101, 1010101010101010101, 101010010101010010101, 10101010101010101010101
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(n) is also A153499(n) written in base 2.
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FORMULA
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a(n) = 101*a(n-1)-1110*a(n-2)+102010*a(n-3)-111000*a(n-4)+1010000*a(n-5)-1000000*a(n-6), n>7. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 20 2009]
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EXAMPLE
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n ............ a(n)
1 ............. 1
2 ............ 101
3 ........... 10001
4 .......... 1010101
5 ......... 101101101
6 ........ 10101010101
7 ....... 1010010100101
8 ...... 101010101010101
9 ..... 10101101010110101
10 ... 1010101010101010101
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CROSSREFS
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Cf. A135577, A138146, A152576, A152764, A153497, A153498, A153499, A144564.
Sequence in context: A167626 A017764 A152756 this_sequence A164367 A094028 A144564
Adjacent sequences: A153497 A153498 A153499 this_sequence A153501 A153502 A153503
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KEYWORD
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easy,more,nonn
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AUTHOR
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Omar E. Pol (info(AT)polprimos.com), Dec 27 2008, Feb 18 2009
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 20 2009
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