A052098 -id:A052098 - cp's OEIS frontend

A052095 a(n)^2 is a square whose decimal expansion digits occur with an exact frequency of 3.

10011, 10110, 10401, 11001, 11010, 14499, 20022, 20220, 22002, 22020, 28998, 31086, 333303, 344514, 354318, 354996, 360096, 367854, 379665, 414189, 442263, 458499, 458610, 460719, 462765, 467997, 470682, 484173, 492489, 518484, 528297

Offset: 1

Patrick De Geest, Jan 15 2000

For case frequency 2 the first terms correspond to those of sequence A052049.

Last term is 999944387118711. - Giovanni Resta, Mar 21 2013

P. De Geest, Numbers whose digits occur with same frequency

Cf. A052096, A052097, A052098, A052049.

Select[Range[53*10^4],Union[Tally[IntegerDigits[#^2]][[All,2]]]=={3}&] (* Harvey P. Dale, May 05 2018 *)

A052096 Squares whose decimal expansion digits occur with an exact frequency of 3.

Original entry on oeis.org

100220121, 102212100, 108180801, 121022001, 121220100, 210221001, 400880484, 408848400, 484088004, 484880400, 840884004, 966339396, 111090889809, 118689896196, 125541245124, 126022160016, 129669129216, 135316565316

Offset: 1

Patrick De Geest, Jan 15 2000

For case frequency 2 the first terms correspond to those of sequence A052050.

Last term is 999888777330214565264406301521 = 999944387118711^2. - Giovanni Resta, Mar 21 2013

P. De Geest, Numbers whose digits occur with same frequency

Cf. A052095, A052097, A052098, A052050.

A052097 a(n)^2 is a square whose decimal expansion digits occur with an exact frequency of 4.

Original entry on oeis.org

31646191, 33228821, 33333003, 34468078, 34528437, 34597630, 35229568, 36920414, 37605474, 39693346, 41508061, 43076539, 43109691, 43485609, 43529521, 44147309, 44294056, 45455649, 45460011, 45460110, 45961010

Offset: 1

Patrick De Geest, Jan 15 2000

Last term is 99999444387327303945. - Giovanni Resta, Mar 21 2013

			33228821 is in the sequence because 33228821^2 = 1104154545050041, in which each digit is repeated 4 times.

P. De Geest, Numbers whose digits occur with same frequency

Cf. A052098, A052095, A052096, A052049.

A052099 Smallest nonzero square with n distinct digits each occurring exactly n times.

Original entry on oeis.org

1, 7744, 100220121, 1001481404808481, 1000049919014961464966416, 100000011325773371773233151572525225, 1000000011111863263563888125532588566228326235536

Offset: 1

Patrick De Geest, Jan 15 2000

Obviously can contain at most 10 terms.

P. De Geest, Numbers whose digits occur with same frequency

Cf. A052093-A052098.

Cf. A052070. - R. J. Mathar, Oct 14 2008

a(5) from Jon E. Schoenfield, Jul 17 2010

Offset corrected and a(6)-a(7) from Donovan Johnson, Apr 16 2011

cp's OEIS Frontend

A052095 a(n)^2 is a square whose decimal expansion digits occur with an exact frequency of 3.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Mathematica

A052096 Squares whose decimal expansion digits occur with an exact frequency of 3.

Views

Author

Keywords

Comments

Links

Crossrefs

A052097 a(n)^2 is a square whose decimal expansion digits occur with an exact frequency of 4.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

A052099 Smallest nonzero square with n distinct digits each occurring exactly n times.

Views

Author

Keywords

Comments

Links

Crossrefs

Extensions