A352172 a(n) is the product of the cubes of the nonzero digits of n.

1, 8, 27, 64, 125, 216, 343, 512, 729, 1, 1, 8, 27, 64, 125, 216, 343, 512, 729, 8, 8, 64, 216, 512, 1000, 1728, 2744, 4096, 5832, 27, 27, 216, 729, 1728, 3375, 5832, 9261, 13824, 19683, 64, 64, 512, 1728, 4096, 8000, 13824, 21952, 32768, 46656, 125, 125, 1000, 3375, 8000, 15625

Offset

1,2

Links

Michel Marcus, Table of n, a(n) for n = 1..10000

Mathematica

a[n_] := (Times @@ Select[IntegerDigits[n], # > 1 &])^3; Array[a, 55] (* Amiram Eldar, Mar 07 2022 *)

Prog

(PARI) a(n) = vecprod(apply(x->x^3, select(x->(x>1), digits(n))));
(Python)
from math import prod
def a(n): return prod(int(d)**3 for d in str(n) if d != '0')
print([a(n) for n in range(1, 56)]) # Michael S. Branicky, Mar 07 2022
(Python)
from math import prod
def A352172(n): return prod(map(lambda x:(0, 1, 8, 27, 64, 125, 216, 343, 512, 729)[int(x)], filter(lambda x:x>'1', str(n)))) # Chai Wah Wu, Sep 17 2024

Crossrefs

Used in A351876.

Cf. A051801.

Sequence in context: A259603 A254521 A351985 * A376270 A055012 A069939

Adjacent sequences: A352169 A352170 A352171 * A352173 A352174 A352175

Keyword

nonn,base

Author

Michel Marcus, Mar 07 2022

Status

approved