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Search: id:A162849
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| A162849 |
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Pairs of numbers n that add up to the 'backward decimal expansion' of fraction 1/109 and whose difference is the 'backward decimal expansion' of fraction 1/89 |
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+0
2
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| 0, 1, 10, 101, 2010, 10201, 303010, 1040201, 40703010, 107050201, 5140803010, 11112050201
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Sum of pairs also (consecutive) cummulative sum of 110^n (or numerators of 1/110^1 + 1/110^2 + ...1/110^n, representing fraction 1/109).
Difference of pairs also cummulative sum of 90^n (or numerators of 1/90^1 + 1/90^2 +...1/90^n, representing fraction 1/89).
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FORMULA
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For n even: a(n)=100*a(n-2)+10*a(n-1),for n odd: a(n)=100*a(n-2)+10*a(n-3)+1; with a(0)=0,a(1)=1
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EXAMPLE
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In pairs:
0,1
10,101
2010,10201
303010,1040201
40703010,107050201
5140803010,11112050201
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CROSSREFS
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Cf. A162741, A161999, A007318, A000045
Sequence in context: A163461 A081192 A108892 this_sequence A041182 A036299 A061107
Adjacent sequences: A162846 A162847 A162848 this_sequence A162850 A162851 A162852
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KEYWORD
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nonn
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AUTHOR
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Mark Dols (markdols99(AT)yahoo.com), Jul 14 2009
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