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A291555 Number of even numbers less than 10^n that contain their greatest odd factor as a substring. 1

%I #36 Aug 31 2017 06:27:10

%S 0,1,4,15,40,57,76,108,146,194,258,336,447,544,663,807,970,1132,1333,

%T 1567

%N Number of even numbers less than 10^n that contain their greatest odd factor as a substring.

%C The number of terms of A291460 less than 10^n.

%C 2^10*x = 1024*x contains x for all x from 1 to 41. Therefore, most of the terms in A291460 less than 10^5 are of the form 1024*x for odd x from 1 to 41.

%e There are 4 numbers in A291460 less than 10^3 = 1000 (16, 128, 384, 512). Therefore, a(3) = 4.

%Y Cf. A000265, A291460.

%K nonn,base,more

%O 1,3

%A _Bobby Jacobs_ and _Robert G. Wilson v_, Aug 26 2017

%E a(14)-a(20) from _Giovanni Resta_, Aug 31 2017

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Last modified July 19 12:37 EDT 2024. Contains 374394 sequences. (Running on oeis4.)