A049354 -id:A049354 - cp's OEIS frontend

A145100 Integers in which no more than half the digits (rounded up) are the same, for all bases up to ten.

1, 2, 17, 19, 25, 38, 52, 56, 75, 76, 82, 83, 90, 92, 97, 98, 100, 102, 104, 105, 108, 113, 116, 135, 139, 141, 142, 147, 150, 153, 163, 165, 177, 178, 180, 184, 195, 197, 198, 201, 204, 209, 210, 212, 225, 226, 232, 267, 269, 275, 278, 279, 291, 293, 294, 298

Offset: 1

Reikku Kulon, Oct 01 2008

			267 in bases [2, 10] is 100001011, 100220, 10023, 2032, 1123, 531, 413, 326, 267. There are five zeros out of nine digits in its binary representation and no more than half the digits in the other bases are identical.

Cf. A049354, A049355, A049356, A049357, A049358, A049359, A049360, A049361, A049362, A049363, A049364

A181986 Digitally balanced numbers: ternary numbers which have the same number of 0's as 1's as 2's.

Original entry on oeis.org

102, 120, 201, 210, 100122, 100212, 100221, 101022, 101202, 101220, 102012, 102021, 102102, 102120, 102201, 102210, 110022, 110202, 110220, 112002, 112020, 112200, 120012, 120021, 120102, 120120, 120201, 120210, 121002, 121020, 121200, 122001, 122010, 122100

Offset: 1

Jonathan Vos Post, Apr 04 2012

This is to A071925 as base 3 A007089 is to base 2 A007088. A049354 digitally balanced numbers in base 3: equal numbers of 0's, 1's, 2's, beginning 11, 15, 19, 21, 260, ... is the same sequence, but expressed in base 10. The terms of this sequence are represented directly in base 3.

			100122 is an element because it contains two each of "0" and "1" and "2".

Alois P. Heinz, Table of n, a(n) for n = 1..2000

Cf. A007089, A031443, A049354, A071925.

Select[FromDigits/@Flatten[Permutations/@Table[PadRight[{},3n,{0,1,2}],{n,2}],1],Mod[IntegerLength[#],3]==0&]//Sort (* Harvey P. Dale, Mar 15 2020 *)

More terms from Alois P. Heinz, Apr 05 2012

A145101 Integers in which no digit occurs more than once more often than any other digit and not all repeated digits are identical, for all bases up to ten.

Original entry on oeis.org

1, 2, 17, 19, 25, 38, 52, 56, 75, 76, 82, 90, 92, 98, 100, 102, 104, 105, 108, 116, 141, 142, 150, 153, 177, 178, 180, 184, 195, 198, 204, 210, 212, 225, 226, 232, 294, 308, 316, 332, 395, 396, 410, 412, 420, 434, 450, 460, 481, 542, 572, 611, 689, 752, 818

Offset: 1

Reikku Kulon, Oct 01 2008

Subset of A145100. The first number not in both sequences is 83.

			97 is in A145100 but not in this sequence: in base 3 it is 10121 and 1 occurs two times more often than either 0 or 2.
98 is in this sequence: in bases [2, 10] it is 1100010, 10122, 1202, 343, 242, 200, 142, 118, 98.

Cf. A049354, A049355, A049356, A049357, A049358, A049359, A049360, A049361, A049362, A049363, A049364, A145100

A145104 Digitally fair numbers: integers n such that in all bases b = 2..10 no digit occurs more often than ceiling(d/b) times, where d is the number of digits of n in base b.

Original entry on oeis.org

1, 2, 19, 198, 25410896, 31596420, 10601629982, 10753657942, 11264883970, 11543640378, 11553029646, 11665278790, 12034384190, 12038440382, 12366849814, 12519032774, 12781964290, 12971872086, 13156400486

Offset: 1

Reikku Kulon, Oct 01 2008

Presumed infinite. Next term >= 3^20.

Hagen von Eitzen, Table of n, a(n) for n = 1..10000

Cf. A049354, A049355, A049356, A049357, A049358, A049359, A049360, A049361, A049362, A049363, A049364, A145100, A145101.

More terms from Hagen von Eitzen, Jun 20 2009

cp's OEIS Frontend

A145100 Integers in which no more than half the digits (rounded up) are the same, for all bases up to ten.

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A181986 Digitally balanced numbers: ternary numbers which have the same number of 0's as 1's as 2's.

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A145101 Integers in which no digit occurs more than once more often than any other digit and not all repeated digits are identical, for all bases up to ten.

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A145104 Digitally fair numbers: integers n such that in all bases b = 2..10 no digit occurs more often than ceiling(d/b) times, where d is the number of digits of n in base b.

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