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Search: id:A044518
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| A044518 |
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Numbers n such that string 5,5 occurs in the base 6 representation of n but not of n+1. |
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+0
3
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| 35, 71, 107, 143, 179, 215, 251, 287, 323, 359, 395, 431, 467, 503, 539, 575, 611, 647, 683, 719, 755, 791, 827, 863, 899, 935, 971, 1007, 1043, 1079, 1115, 1151, 1187, 1223, 1295, 1331, 1367, 1403, 1439, 1475, 1511, 1547, 1583
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OFFSET
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1,1
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COMMENT
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If A=[A158062] 36*n.^2-2*n (n>0, 34, 140, 318,., ,.,); Y=[A010722] 6 (6, 6, 6,..,); X=[A044518] 36*n-1 (n>0, 35, 71, 107, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 35^2-34*6^2=1; 71^2-140*6^2=1; 107^2-318*6^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 12 2009]
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FORMULA
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a(n)=36*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)=35; n=2, a(2)=71; n=3, a(3)=107 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 12 2009]
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CROSSREFS
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Cf. A158062, A010722 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 12 2009]
Sequence in context: A043390 A031481 A044137 this_sequence A039382 A043205 A043985
Adjacent sequences: A044515 A044516 A044517 this_sequence A044519 A044520 A044521
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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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