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A271374 Total number of polydivisible numbers in base n. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

LINKS

Table of n, a(n) for n=2..27.

Wikipedia, Polydivisible number.

FORMULA

a(n) = Sum_{k=1..A109783(n)} A271373(n,k).

a(n) ~ (n-1)*(exp(n)-1)/n.

EXAMPLE

There are a(10) = 20457 polydivisible numbers in base 10, which are listed in A144688.

CROSSREFS

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

KEYWORD

nonn,base,more

AUTHOR

Martin Renner, Apr 05 2016

EXTENSIONS

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

STATUS

approved

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Last modified January 28 12:46 EST 2023. Contains 359892 sequences. (Running on oeis4.)