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 A223078 Positive integers with the property that if the base-4 representation is reversed the result is three times the original number. 2
 75, 315, 1275, 5115, 19275, 20475, 76875, 81915, 307275, 322875, 327675, 1228875, 1290555, 1310715, 4915275, 4934475, 5161275, 5223675, 5242875, 19660875, 19741515, 20644155, 20890875, 20971515, 78643275, 78720075, 78969675, 82575675, 82652475, 83559675 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS From Robert Israel, Apr 23 2019: (Start) All terms are divisible by 15. If x is a term and x < 4^k, then x*(4^k+1) is a term.  In particular the sequence is infinite. (End) LINKS Robert Israel, Table of n, a(n) for n = 1..985 MAPLE rev4:= proc(n) local L, i;   L:= convert(n, base, 4);   add(L[-i]*4^(i-1), i=1..nops(L)) end proc: Res:= NULL: for d from 2 to 15 do   d1:= ceil(d/2); d2:= d-d1;   for a from 4^(d1-1) to 4^d1/3 do      b:= rev4(a)/3 mod 4^d2;      x:= 4^d2*a+b;      if rev4(x) = 3*x then Res:= Res, x; fi od od: Res; # Robert Israel, Apr 23 2019 MATHEMATICA Select[Range[84*10^6], 3#==FromDigits[Reverse[IntegerDigits[#, 4]], 4]&] (* Harvey P. Dale, Mar 03 2018 *) CROSSREFS Cf. A173951, A223077, A223079, A214927. Sequence in context: A292313 A158765 A226741 * A055561 A193252 A223452 Adjacent sequences:  A223075 A223076 A223077 * A223079 A223080 A223081 KEYWORD nonn,base AUTHOR N. J. A. Sloane, Mar 14 2013 EXTENSIONS More terms from Alois P. Heinz, Mar 14 2013 STATUS approved

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Last modified October 21 12:12 EDT 2019. Contains 328299 sequences. (Running on oeis4.)