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A271374
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Total number of polydivisible numbers in base n.
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2
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3, 16, 38, 128, 324, 1068, 2569, 8381, 20457, 58174, 148059, 441493, 916146, 3722968, 8407790, 23909586, 64576509, 178009925, 466027279, 1409607602, 3507905894, 9694292108, 25391646456, 73838562312, 191793924162, 550333004128
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OFFSET
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2,1
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LINKS
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Table of n, a(n) for n=2..27.
Wikipedia, Polydivisible number.
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FORMULA
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a(n) = Sum_{k=1..A109783(n)} A271373(n,k).
a(n) ~ (n-1)*(exp(n)-1)/n.
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EXAMPLE
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There are a(10) = 20457 polydivisible numbers in base 10, which are listed in A144688.
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CROSSREFS
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Row sums of A271373.
Cf. A109032, A109783, A144688.
Sequence in context: A196804 A280093 A081270 * A147874 A092466 A152618
Adjacent sequences: A271371 A271372 A271373 * A271375 A271376 A271377
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KEYWORD
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nonn,base,more
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AUTHOR
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Martin Renner, Apr 05 2016
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EXTENSIONS
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a(16) from Seiichi Manyama, Sep 01 2019
a(17)-a(18) from Seiichi Manyama, Sep 02 2019
a(19)-a(27) from Max Alekseyev, Sep 08 2021
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STATUS
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approved
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