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A221532 The number of n-digit numbers whose last k digits are divisible by k for k = 1..n. 0

%I #21 Jan 14 2021 21:16:14

%S 10,45,150,756,1530,5100,7301,38646,42940,430263,391149

%N The number of n-digit numbers whose last k digits are divisible by k for k = 1..n.

%e There are ten one-digit numbers divisible by 1 so a(1)=10.

%e For two-digit numbers, the ones digit must be such that the two-digit number is divisible by 2 which gives 45 numbers, that is, all even numbers from 10 to 98 to satisfy the requirement. So a(2)=45.

%Y Cf. A164836.

%K nonn,base

%O 1,1

%A _Shyam Sunder Gupta_, Aug 07 2013

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)