A342872 - OEIS

%I #19 Apr 13 2021 18:29:45

%S 0,1,2,3,2,1,0,1,2,3,4,5,6,7,8,9,8,7,6,5,4,3,2,1,0,1,2,3,4,5,6,7,8,9,

%T 10,11,12,13,14,15,16,17,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,

%U 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17

%N Distance to nearest product of 3 consecutive numbers (three-dimensional promic number, A007531).

%H Lamine Ngom, <a href="/A342872/b342872.txt">Table of n, a(n) for n = 0..10000</a>

%e a(13) = 7 since 6 is the closest three-dimensional promic to 13 and 13 - 6 = 7.

%o (Python)

%o def a(n): return min(abs(n-k*(k+1)*(k+2)) for k in range(int(n**1/3)+1))

%o print([a(n) for n in range(78)]) # _Michael S. Branicky_, Mar 28 2021

%Y Cf. A007531, A342873.

%Y Other distance to nearest: A081134, A053646, A201053.

%K nonn,easy

%O 0,3

%A _Lamine Ngom_, Mar 28 2021