%I #17 Aug 04 2020 21:53:56
%S 0,1,2,3,4,5,6,7,8,9,10,1024,1025,1026,1027,1028,1029,1030,1031,1032,
%T 1033,2048,2049,2050,2051,2052,2053,2054,2055,2056,3072,3073,3074,
%U 3075,3076,3077,3078,3079,4096,4097,4098,4099,4100,4101,4102,5120,5121,5122,5123
%N Numbers that are the sum of at most 10 nonzero 10th powers.
%H Alois P. Heinz, <a href="/A004905/b004905.txt">Table of n, a(n) for n = 1..10000</a>
%p b:= proc(n, i, t) option remember; n=0 or i>0 and t>0
%p and (b(n, i-1, t) or i^10<=n and b(n-i^10, i, t-1))
%p end:
%p a:= proc(n) option remember; local k;
%p for k from 1+ `if`(n=1, -1, a(n-1))
%p while not b(k, iroot(k, 10), 10) do od; k
%p end:
%p seq(a(n), n=1..60); # _Alois P. Heinz_, Sep 16 2016
%t b[n_, i_, t_] := b[n, i, t] = n == 0 || i > 0 && t > 0 && (b[n, i - 1, t] || i^10 <= n && b[n - i^10, i, t - 1]);
%t a[n_] := a[n] = (For[k = 1 + If[n == 1, -1, a[n - 1]], !b[k, k^(1/10) // Floor, 10], k++]; k);
%t Array[a, 60] (* _Jean-François Alcover_, Apr 06 2017, after _Alois P. Heinz_ *)
%Y Column k=10 of A336820.
%K nonn
%O 1,3
%A _N. J. A. Sloane_
%E More terms from _Alois P. Heinz_, Sep 16 2016