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A226796 Number of nonnegative numbers x < 10^n such that the digits of x^2 occur with an equal frequency of 1. 2
10, 59, 221, 441, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611, 611 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..52.

EXAMPLE

All numbers 0 to 9 have squares containing only digits of frequency 1: 0, 1, 4, 9, 16, 25, 36, 49, 64, 81. See A119509 for the positive terms.

MATHEMATICA

cnt = 0; x = 0; Table[While[x < 10^n, If[Union[Last[Transpose[Tally[IntegerDigits[x^2]]]]] == {1}, cnt++]; x++]; cnt, {n, 5}]

CROSSREFS

Cf. A119509 (positive terms x), A225428 (for 2 digits).

Sequence in context: A044529 A129330 A045950 * A061001 A055586 A326827

Adjacent sequences: A226793 A226794 A226795 * A226797 A226798 A226799

KEYWORD

nonn,base

AUTHOR

T. D. Noe, Jun 21 2013

STATUS

approved

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Last modified December 8 11:05 EST 2022. Contains 358693 sequences. (Running on oeis4.)