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Search: id:A044567
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| A044567 |
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Numbers n such that string 6,6 occurs in the base 7 representation of n but not of n+1. |
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+0
2
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| 48, 97, 146, 195, 244, 293, 342, 391, 440, 489, 538, 587, 636, 685, 734, 783, 832, 881, 930, 979, 1028, 1077, 1126, 1175, 1224, 1273, 1322, 1371, 1420, 1469, 1518, 1567, 1616, 1665, 1714, 1763, 1812, 1861, 1910, 1959, 2008
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OFFSET
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1,1
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COMMENT
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If A=[A157362] 49*n.^2-2*n (n>0, 47, 192, 435,.,. ,.,); Y=[A010727] 7 (7,7,7,.,.,); X=[A044567] 49*n-1 (n>0, 48, 97, 146, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 48^2-47*7^2=1; 97^2-192*7^2=1; 146^2-435*7^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 12 2009]
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LINKS
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Tanya Khovanova, Non Recursions
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FORMULA
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a(n)=49*n-1 (n>0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 12 2009]
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EXAMPLE
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For n=1, a(1)=48; n=2, a(2)=97; n=3, a(3)=146 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 12 2009]
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CROSSREFS
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Cf. A157362, A010727 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 12 2009]
Sequence in context: A043418 A031486 A044186 this_sequence A070258 A113797 A044235
Adjacent sequences: A044564 A044565 A044566 this_sequence A044568 A044569 A044570
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KEYWORD
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nonn,base
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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