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A049354
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Digitally balanced numbers in base 3: equal numbers of 0's, 1's, 2's.
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12
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11, 15, 19, 21, 260, 266, 268, 278, 290, 294, 302, 304, 308, 312, 316, 318, 332, 344, 348, 380, 384, 396, 410, 412, 416, 420, 424, 426, 434, 438, 450, 460, 462, 468, 500, 502, 508, 518, 520, 524, 528, 532, 534, 544, 550, 552, 572, 574, 578, 582, 586, 588, 596
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OFFSET
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1,1
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LINKS
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FORMULA
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MATHEMATICA
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Select[Range[600], Length[Union[DigitCount[#, 3]]]== 1&]
FromDigits[#, 3]&/@DeleteCases[Flatten[Permutations/@Table[PadRight[{}, 3n, {1, 0, 2}], {n, 3}], 1], _?(#[[1]]==0&)]//Sort (* Harvey P. Dale, May 30 2016 *)
Select[Range@5000, Differences@DigitCount[#, 3]=={0, 0}&] (* Hans Rudolf Widmer, Dec 11 2021 *)
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PROG
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(Haskell)
a049354 n = a049354_list !! (n-1)
a049354_list = filter f [1..] where
f n = t0 == a062756 n && t0 == a081603 n where t0 = a077267 n
(Python)
from sympy.ntheory import count_digits
def ok(n): c = count_digits(n, 3); return c[0] == c[1] == c[2]
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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