A164774 Numbers n with property that average digit of n^2 is s=5.

8, 113, 122, 157, 158, 166, 176, 184, 193, 194, 212, 221, 238, 256, 257, 266, 274, 275, 283, 284, 292, 311, 3283, 3314, 3386, 3391, 3413, 3458, 3463, 3517, 3544, 3562, 3593, 3674, 3683, 3697, 3724, 3733, 3737, 3764, 3814, 3827, 3836, 3859, 3863, 3872, 3917

Offset

1,1

Links

Table of n, a(n) for n=1..47.

Example

8^2=64 and (6+4)/2=5
113^2=12769 and (1+2+7+6+9)/5=5.

Prog

(PARI) dsum(n)={my(s=0); while(n>9, s+=n%10; n\=10); s+n};
for(n=1, 1e6, if(dsum(n^2)/#Str(n^2)==5, print1(n", "))) \\ Charles R Greathouse IV, Nov 01 2009

Crossrefs

Subsequence of A164817.

Average of digits of n^2 = s: A164771 (s=1), A164770 (s=2), A164782 (s=3), A164776 (s=4), A164774 (s=5), A164778 (s=6), A164773 (s=7), A164772 (s=8).

Sequence in context: A010041 A099703 A296467 * A259590 A155460 A064090

Adjacent sequences: A164771 A164772 A164773 * A164775 A164776 A164777

Keyword

nonn,base

Author

Zak Seidov, Aug 26 2009

Status

approved