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 A363835 Numbers that are the concatenation of a square and a cube, and also the concatenation of a cube and a square. 1
 10, 11, 164, 640, 641, 1441, 1729, 1961, 6464, 7290, 7291, 14096, 40960, 40961, 64729, 72964, 115625, 116641, 125441, 146656, 148841, 156250, 156251, 409664, 466560, 466561, 644096, 729729, 1117649, 1166464, 1176490, 1176491, 1262144, 1531441, 1562564, 1795664, 2621440, 2621441, 4096729, 4665664 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Includes 10*x^6 and 10*x^6 + 1 for all x >= 1. LINKS Robert Israel, Table of n, a(n) for n = 1..1738 EXAMPLE a(6) = 1441 is the concatenation of 1^3 and 21^2 and also the concatenation of 12^2 and 1^3. MAPLE N:= 7: # for terms of up to N digits for d from 1 to N-1 do S[d]:= {seq(i^2, i=ceil(10^((d-1)/2)) .. floor((10^d-1)^(1/2)))}: C[d]:= {seq(i^3, i=ceil(10^((d-1)/3)) .. floor((10^d-1)^(1/3)))}: od: SC:= {seq(seq(seq(seq(10^i*s+c, s=S[j]), c=C[i]), j=1..N-i), i=1..N-1), seq(seq(10*s, s=S[i]), i=1..N-1)}: CS:= {seq(seq(seq(seq(10^i*c+s, c=C[j]), s=S[i]), j=1..N-i), i=1..N-1), seq(seq(10*c, c=C[i]), i=1..N-1)}: sort(convert(SC intersect CS, list)); CROSSREFS Cf. A000290, A000578. Sequence in context: A222473 A361990 A335801 * A041217 A041218 A300458 Adjacent sequences: A363832 A363833 A363834 * A363836 A363837 A363838 KEYWORD nonn,base AUTHOR Robert Israel, Oct 19 2023 STATUS approved

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Last modified September 11 05:48 EDT 2024. Contains 375814 sequences. (Running on oeis4.)