A347144 a(n) is the smallest number whose square uses all the digits but n.

11826, 45136, 12586, 32054, 36137, 10136, 32861, 32164, 10124, 10128

Offset

0,1

Links

Table of n, a(n) for n=0..9.

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

Cf. A071519, A158931.

Sequence in context: A110846 A071519 A294661 * A188310 A185496 A249842

Adjacent sequences: A347141 A347142 A347143 * A347145 A347146 A347147

Keyword

nonn,base,fini,full

Author

Tanya Khovanova, Aug 19 2021

Status

approved