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Search: id:A156203
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| A156203 |
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a(n)=2*a(n-1)+3, a(1)=14 |
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+0
1
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| 14, 31, 65, 133, 269, 541, 1085, 2173, 4349, 8701, 17405, 34813, 69629, 139261, 278525, 557053, 1114109, 2228221, 4456445, 8912893, 17825789, 35651581, 71303165, 142606333, 285212669, 570425341, 1140850685, 2281701373
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OFFSET
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1,1
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COMMENT
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Also, let p=17, prime number, then a(n)=p*2^n-3; example, a(0)=17*1-3=14; a(1)= 17*2-3=31; a(2)=17*4-3=65;
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FORMULA
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a(n)=2*a(n-1)+3, a(1)=14
G.f. (14-11x)x/((1-x)(1-2x)). a(n)=17*2^(n-1)-3. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 09 2009]
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EXAMPLE
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For n=2, a(2)=2*14+3=31; n=3, a(3)=2*31+3=65:
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CROSSREFS
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Sequence in context: A015222 A054103 A161454 this_sequence A101183 A101444 A084194
Adjacent sequences: A156200 A156201 A156202 this_sequence A156204 A156205 A156206
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KEYWORD
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nonn
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AUTHOR
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Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 08 2009
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EXTENSIONS
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Corrected typo in a(11) by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 09 2009
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