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

0,5

Comments

Cf. A076493 Number of common and distinct decimal digits of n and n^2, A109071 Number of common decimal digits ( counted with multiplicity ) of n and n^2, A109072 Number of decimal digits ( counted with multiplicity ) in n but not in n^2.

Links

Table of n, a(n) for n=0..104.

Example

a(35)=4 because 34^2=1156 and there are 4 digits (counted with multiplicity) which are in 34^2 but not in 34.

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}]

Crossrefs

Cf. A076493, A109071, A109072.

Sequence in context: A029256 A216501 A217463 * A341694 A255337 A026465

Adjacent sequences: A109070 A109071 A109072 * A109074 A109075 A109076

Keyword

base,easy,nonn

Author

Zak Seidov, Jun 20 2005

Status

approved