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Search: id:A132422
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| A132422 |
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Array read by anti-diagonals: a(m,1) = 1, for all positive integers m. a(m,n) = the m-th integer from among those positive integers which are coprime to a(m,n-1). |
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2
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| 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 4, 4, 1, 1, 3, 5, 7, 5, 1, 1, 2, 3, 4, 6, 6, 1, 1, 3, 4, 7, 13, 17, 7, 1, 1, 2, 5, 4, 5, 6, 8, 8, 1
(list; table; graph; listen)
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OFFSET
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1,5
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COMMENT
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Many, if not all, sequences {a(m,n)}, for fixed m, are periodic after some point. a(m,n) = a(m,n+A132423(n)) for all n > some integer.
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EXAMPLE
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a(m,n):
a(m,1):1,1,1,1,1,...
a(m,2):1,2,3,4,5,...
a(m,3):1,3,4,7,6,...
a(m,4):1,2,5,4,13,...
a(m,5):1,3,3,7,5,...
For example, the positive integers which are coprime to a(4,2)=4 are 1,3,5,7,9,... The 4th of these integers is 7. So a(4,3) = 7.
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CROSSREFS
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Cf. A132423.
Sequence in context: A093557 A098802 A048804 this_sequence A065133 A080381 A080396
Adjacent sequences: A132419 A132420 A132421 this_sequence A132423 A132424 A132425
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KEYWORD
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more,nonn,tabl
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AUTHOR
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Leroy Quet (q1qq2qqq3qqqq(AT)yahoo.com), Aug 20 2007
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