

A290016


Brazilian numbers which have exactly three Brazilian representations.


3



24, 36, 42, 54, 66, 70, 78, 88, 100, 102, 104, 105, 124, 128, 130, 135, 136, 138, 152, 154, 165, 171, 172, 174, 182, 184, 186, 189, 190, 195, 196, 225, 230, 231, 232, 238, 242, 246, 248, 250, 256, 258, 272, 282, 286, 290, 292, 296, 297, 310, 318, 322, 328, 333, 344, 345
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OFFSET

1,1


COMMENTS

These numbers could be called 3Brazilian numbers.
All these numbers are composite with six to ten different divisors.
The smallest number of this sequence is 24 with 24 = 44_5 = 33_7 = 22_11. The number 24 is of course highly Brazilian in A066044.


LINKS

Table of n, a(n) for n=1..56.


EXAMPLE

36 = 4 * 9 = 44_8 = 3 * 12 = 33_11 = 2 * 18 = 22_19.
42 = 2 * 21 = 22_20 = 222_4 = 3 * 14 = 33_13.
124 = 4 * 31 = 44_30 = 444_5 = 2 * 62 = 22_61.
272 = 8 * 34 = 88_33 = 4 * 68 = 44_67 = 2 * 136 = 22_135.


MATHEMATICA

Flatten@ Position[#, 3] &@ Table[Count[Range[2, n  2], _?(And[Length@ # != 1, Length@ Union@ # == 1] &@ IntegerDigits[n, #] &)], {n, 350}] (* Michael De Vlieger, Jul 30 2017 *)


CROSSREFS

Cf. A066044, A125134, A220570, A220571, A257521, A288783, A290015, A290017, A290018.
Sequence in context: A307342 A067341 A307682 * A195008 A054775 A273088
Adjacent sequences: A290013 A290014 A290015 * A290017 A290018 A290019


KEYWORD

nonn


AUTHOR

Bernard Schott, Jul 27 2017


STATUS

approved



