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a(n) is the number of zero digits in the product of the first n numbers not divisible by 5.
4

%I #6 Sep 04 2022 12:38:30

%S 0,0,0,0,0,0,2,1,0,0,2,1,0,1,1,1,0,2,1,0,0,2,4,1,2,2,2,6,5,2,3,5,4,2,

%T 5,3,4,6,4,3,8,3,3,4,8,9,6,3,5,9,6,10,9,7,4,11,10,10,8,13,9,5,8,8,11,

%U 7,8,10,13,11,10,12,11,13,13,16,6,16,10,21,17

%N a(n) is the number of zero digits in the product of the first n numbers not divisible by 5.

%F a(n) = A055641(A356858(n)).

%t Table[Count[IntegerDigits[Product[Floor[(5i-1)/4], {i,n}]], 0], {n,0,80}]

%o (Python)

%o from math import prod

%o def a(n): return str(prod((5*k-1)//4 for k in range(1, n+1))).count("0")

%o print([a(n) for n in range(81)]) # _Michael S. Branicky_, Sep 01 2022

%Y Cf. A047201, A055641, A356858.

%Y Cf. A356860 (number of digits), A356861 (number of nonzero digits).

%K nonn,base

%O 0,7

%A _Stefano Spezia_, Sep 01 2022