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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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3
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1, 101, 10001, 1010101, 101101101, 10101010101, 1010010100101, 101010101010101, 10101101010110101, 1010101010101010101, 101010010101010010101, 10101010101010101010101
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OFFSET
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1,2
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COMMENTS
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a(n) is also A153499(n) written in base 2.
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LINKS
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Table of n, a(n) for n=1..12.
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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, 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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Another visualization of the structure
======================================
1 ............. *
2 ............ /.\
3 ........... /...\
4 .......... /.*.*.\
5 ......... /./|.|\.\
6 ........ /./.|.|.\.\
7 ....... /./..|.|..\.\
8 ...... /./.*.|.|.*.\.\
9 ..... /././|.|.|.|\.\.\
10 ... /././.|.|.|.|.\.\.\
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CROSSREFS
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Cf. A135577, A138146, A152576, A152764, A153497, A153498, A153499, A144564.
Sequence in context: A017764 A217677 A152756 * A164367 A094028 A144564
Adjacent sequences: A153497 A153498 A153499 * A153501 A153502 A153503
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KEYWORD
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easy,base,nonn
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AUTHOR
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Omar E. Pol, Dec 27 2008, Feb 18 2009
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EXTENSIONS
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More terms from R. J. Mathar, Feb 20 2009
Keyword:base added by Charles R Greathouse IV, Apr 26 2010
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STATUS
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approved
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