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Search: id:A138707
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| A138707 |
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Number of divisors of n that are also divisors of some d(k)*10^k, where n=Sum(d(k)*10^k). |
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4
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| 1, 2, 2, 3, 2, 4, 2, 4, 3, 4, 1, 2, 1, 2, 2, 2, 1, 2, 1, 6, 1, 2, 1, 3, 2, 2, 1, 3, 1, 8, 1, 2, 2, 2, 2, 4, 1, 2, 2, 8, 1, 2, 1, 3, 2, 2, 1, 4, 1, 6, 1, 2, 1, 2, 2, 2, 1, 2, 1, 12, 1, 2, 2, 3, 2, 4, 1, 3, 2, 8, 1, 2, 1, 2, 2, 2, 2, 2, 1, 10, 1, 2, 1, 3, 2, 2, 1, 4, 1, 12, 1, 2, 2, 2, 2, 4, 1, 2, 3, 9, 1, 2, 1, 3
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(A138708(n)) = 1; a(A037124(n)) = A000005(A037124(n)).
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LINKS
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R. Zumkeller, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Divisor Function
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EXAMPLE
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n = 216 = 2*10^2 + 1*10^1 + 6*10^0: let D(n) = set of divisors of
n,
D(216)={1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216},
D(200)={1,2,4,5,8,10,20,25,40,50,100,200}, D(10)={1,2,5,10}, D(6)={1,2,3,6},
a(216) = #{1,2,3,4,6,8} = 6.
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CROSSREFS
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Cf. A061116.
Sequence in context: A083867 A076888 A087990 this_sequence A095048 A084302 A080256
Adjacent sequences: A138704 A138705 A138706 this_sequence A138708 A138709 A138710
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KEYWORD
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nonn,base
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 26 2008
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