A109073 Number of decimal digits ( counted with multiplicity ) in n^2 but not in n.
0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 2, 3, 2, 3, 1, 1, 1, 2, 3, 1, 2, 3, 4, 4, 3, 3, 3, 4, 4, 2, 2, 3, 3, 4, 3, 3, 4, 3, 3, 1, 3, 3, 4, 4, 3, 3, 4, 4, 4, 1, 3, 4, 2, 2, 3, 3, 4, 3, 3, 2, 3, 4, 3, 2, 2, 1, 4, 3, 4, 2, 3, 3, 2, 4, 3, 3, 3, 4, 3, 2, 3, 4, 3, 4, 2, 2, 2, 3, 3, 0, 1, 2, 2, 2
Offset: 0
Examples
a(35)=4 because 34^2=1156 and there are 4 digits (counted with multiplicity) which are in 34^2 but not in 34.
Programs
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Mathematica
UnsortedComplement[x_List, y__List]:=Replace[x, Dispatch[(#\[RuleDelayed]Sequence[])&/@Union[y]], 1]; Table[Length[UnsortedComplement[IntegerDigits[n], IntegerDigits[n^2]]], {n, 0, 200}]
Comments