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

Author

Tanya Khovanova, Aug 19 2021

Keywords

• nonn
• base
• fini
• full

Examples

			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).
		

Crossrefs

Cf. A071519, A158931.

Programs

Mathematica

Table[Select[Range[100000], Union[IntegerDigits[#^2]] ==  Delete[Range[0, 9], n + 1] &][[1]], {n, 0, 9}]

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