A052071
a(n)^3 is the smallest cube whose digits occur with the same frequency n.
Original entry on oeis.org
0, 11, 888, 2830479, 120023142, 6351783105, 267745815817, 13280759167047
Offset: 1
2830479^3 = 22676697737363992239 and its digits 2, 3, 6, 7 and 9 each occur four times.
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Table[i = 0;
While[x = i^3; Union@DeleteCases[DigitCount[x], 0] != {n}, i++];
i, {n, 7}] (* Robert Price, Oct 12 2019 *)
A052070
Smallest square all of whose digits occur with the same frequency n.
Original entry on oeis.org
0, 7744, 100220121, 1001481404808481, 269996262622969, 445646655445456656, 114811414848448481881, 425425422552255452244544, 244848282488224248488284224, 610016161160606006011116601600
Offset: 1
1001481404808481 (= 31646191^2) and its digits 0, 1, 4 and 8 each occur four times.
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Table[i = 0;
While[x = i^2; Union@DeleteCases[DigitCount[x], 0] != {n}, i++];
x, {n, 10}] (* Robert Price, Oct 12 2019 *)
A052060
Numbers n such that the digits of 2^n occur with the same frequency.
Original entry on oeis.org
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 20, 29
Offset: 1
E.g., 2^29 = 536870912 where each digit occurs once in this case.
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filter:= proc(n) local x,i,P;
P:= add(x^i,i=convert(2^n,base,10));
nops({coeffs(P,x)})=1
end proc:
select(filter, [$1..10^4]); # Robert Israel, Aug 14 2015
A052094
Smallest fourth powers whose decimal expansion digits occur with same frequency n.
Original entry on oeis.org
0, 1836036801, 289123718973983667216, 1051315345334684056886604801, 33065106952901022329359695121613056, 112265125207703310302573655130362165067776, 1010922420949465152104650155209626996061445542961
Offset: 1
207^4 = 1836036801 and digits 0,1,3,6 and 8 each occur twice.
Showing 1-4 of 4 results.
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