Travis Vasquez - cp's OEIS frontend

User: Travis Vasquez

Travis Vasquez has authored 1 sequences.

A379591 Numbers k whose base-10 digits can be split into two parts, q and r, with k = (|q-r|)^3.

1000, 456533, 474552, 1000000, 69426531, 1000000000, 1000000000000, 1000000000000000, 1000000000000000000, 1000000000000000000000, 1000000000000000000000000, 1000000000000000000000000000, 1000000000000000000000000000000, 1000000000000000000000000000000000

Offset: 1

Travis Vasquez, Dec 26 2024

			1000 = (|10-00|)^3.
456533 = (|456-533|)^3.
1000000 = (|100-0000|)^3.

Cf. A102766, A228103.

filter:= proc(x) local m;
for m from 1 to ilog10(x) do
  if x = abs((x mod 10^m) - floor(x/10^m))^3 then return true fi
od;
false
end proc:
select(filter, [seq(i^3,i=1..10^7)]); # Robert Israel, Jan 01 2025

lista(nn) = my(d, m, q, s, t=1, v=List([])); while(t1&&gcd(f[1], (t+1)/f[1])==1, d=[x[1]^x[2]|x<-f[2]~]; forvec(x=vector(#d, i, [0, 1]), s=lift(chinese(chinese(vector(#d, i, Mod((-1)^x[i], d[i]))), Mod(0, (t+1)/f[1]))); q=(s^3-s)/(t+1); if(q>0&&s+q=s&&q-sx<=nn, v)); \\ Jinyuan Wang, Jan 03 2025

a(11)-a(12) from Michael S. Branicky, Jan 01 2025

a(13)-a(14) from Jinyuan Wang, Jan 03 2025

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User: Travis Vasquez

A379591 Numbers k whose base-10 digits can be split into two parts, q and r, with k = (|q-r|)^3.

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