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A352172
a(n) is the product of the cubes of the nonzero digits of n.
12
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
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
KEYWORD
nonn,base,changed
AUTHOR
Michel Marcus, Mar 07 2022
STATUS
approved