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Search: id:A038148
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| A038148 |
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Number of 3-infinitary divisors of n: if n = Product p(i)^r(i) and d = Product p(i)^s(i), each s(i) has a digit a <= b in its ternary expansion everywhere that the corresponding r(i) has a digit b, then d is a 3-infinitary-divisor of n. |
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+0
3
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| 1, 2, 2, 3, 2, 4, 2, 2, 3, 4, 2, 6, 2, 4, 4, 4, 2, 6, 2, 6, 4, 4, 2, 4, 3, 4, 2, 6, 2, 8, 2, 6, 4, 4, 4, 9, 2, 4, 4, 4, 2, 8, 2, 6, 6, 4, 2, 8, 3, 6, 4, 6, 2, 4, 4, 4, 4, 4, 2, 12, 2, 4, 6, 3, 4, 8, 2, 6, 4, 8, 2, 6, 2, 4, 6, 6, 4, 8, 2, 8, 4, 4, 2, 12, 4, 4, 4, 4, 2, 12, 4, 6, 4, 4, 4, 12, 2, 6, 6, 9, 2, 8
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Multiplicative: If e = sum d_k 4^k, then a(p^e) = prod (d_k+1). Christian G. Bower (bowerc(AT)usa.net) May 19, 2005.
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LINKS
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J. O. M. Pedersen, Tables of Aliquot Cycles
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EXAMPLE
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2^3*3 is a 3-infinitary-divisor of 2^5*3^2 because 2^3*3 = 2^10*3^1 and 2^5*3^2 = 2^12*3^2 in ternary expanded power. All corresponding digits satisfy the condition. 1<=1, 0<=2, 1<=2.
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CROSSREFS
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Cf. A037445, A038182.
Sequence in context: A122828 A035213 A083901 this_sequence A111336 A083902 A106491
Adjacent sequences: A038145 A038146 A038147 this_sequence A038149 A038150 A038151
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KEYWORD
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nonn,nice,easy,mult
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AUTHOR
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Yasutoshi Kohmoto (zbi74583(AT)boat.zero.ad.jp)
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EXTENSIONS
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More terms from Naohiro Nomoto (6284968128(AT)geocities.co.jp), Jun 21 2001
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