A328287 Number of multiples of n which have only distinct and nonzero digits in base 10.
0, 986409, 438404, 572175, 219202, 109601, 255752, 140515, 109601, 432645, 0, 90212, 127163, 75768, 62436, 65027, 56104, 57930, 194244, 51869, 0, 81493, 40572, 42969, 63654, 27400, 33587, 145926, 31217, 34146, 0, 31827, 27926, 51090, 25772, 15702, 97114, 26330, 23106, 43929, 0, 23983, 36409
Offset: 0
Examples
For n = 1, this is simply the number of numbers with only distinct and nonzero digits. All other terms are less than a(1), namely, the size of the subset of these numbers which are multiples of n.
Links
- Rémy Sigrist, PARI program for A328287
Programs
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PARI
A328287(n,B=10,S)={for(L=1,B-1,my(T=vectorv(L,k,B^(k-1))); forperm(L,p,u=vecextract(T,p);forvec(d=vector(L,i,[1,B-1]),d*u%n||S++,2)));S} \\ 2nd optional argument allows to specify a base different from 10
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PARI
See Links section
Formula
a(n) = 0 whenever n == 0 (mod 10) or n > 987654321.
Comments