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A004905 Numbers that are the sum of at most 10 nonzero 10th powers. 1
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 3072, 3073, 3074, 3075, 3076, 3077, 3078, 3079, 4096, 4097, 4098, 4099, 4100, 4101, 4102, 5120, 5121, 5122, 5123 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..10000

MAPLE

b:= proc(n, i, t) option remember; n=0 or i>0 and t>0

      and (b(n, i-1, t) or i^10<=n and b(n-i^10, i, t-1))

    end:

a:= proc(n) option remember; local k;

      for k from 1+ `if`(n=1, -1, a(n-1))

      while not b(k, iroot(k, 10), 10) do od; k

    end:

seq(a(n), n=1..60);  # Alois P. Heinz, Sep 16 2016

MATHEMATICA

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]);

a[n_] := a[n] = (For[k = 1 + If[n == 1, -1, a[n - 1]], !b[k, k^(1/10) // Floor, 10], k++]; k);

Array[a, 60] (* Jean-Fran├žois Alcover, Apr 06 2017, after Alois P. Heinz *)

CROSSREFS

Sequence in context: A326302 A004883 A004894 * A004916 A120126 A062399

Adjacent sequences:  A004902 A004903 A004904 * A004906 A004907 A004908

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Alois P. Heinz, Sep 16 2016

STATUS

approved

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Last modified May 27 05:48 EDT 2020. Contains 334649 sequences. (Running on oeis4.)