A342872 - OEIS

A342872

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

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Lamine Ngom, Table of n, a(n) for n = 0..10000

EXAMPLE

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

PROG

(Python)

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

print([a(n) for n in range(78)]) # Michael S. Branicky, Mar 28 2021

CROSSREFS