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A347144
a(n) is the smallest number whose square uses all the digits but n.
0
11826, 45136, 12586, 32054, 36137, 10136, 32861, 32164, 10124, 10128
OFFSET
0,1
EXAMPLE
a(0) is the smallest number whose square is a zeroless pandigital number. A071519 lists numbers whose squares are zeroless pandigital numbers. Thus, a(0) = A071519(1) = 11826 (11826^2 = 139854276).
MATHEMATICA
Table[Select[Range[100000], Union[IntegerDigits[#^2]] == Delete[Range[0, 9], n + 1] &][[1]], {n, 0, 9}]
PROG
(Python)
def a(n):
k, target = 1, set(str(i) for i in range(10) if i != n)
while set(str(k*k)) != target: k += 1
return k
print([a(n) for n in range(10)]) # Michael S. Branicky, Aug 19 2021
CROSSREFS
Sequence in context: A110846 A071519 A294661 * A188310 A185496 A249842
KEYWORD
nonn,base,fini,full
AUTHOR
Tanya Khovanova, Aug 19 2021
STATUS
approved