A258071 Nonnegative integers that can be computed using exactly ten 10's and the four basic arithmetic operations {+, -, *, /}.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67

Offset

1,3

Comments

The smallest non-computable number here is 443. The largest computable number here is 10^10 = 10000000000.

Links

Alois P. Heinz, Table of n, a(n) for n = 1..15945

Maple

f:= proc(n) f(n):= `if`(n=1, {10}, {seq(seq(seq([x+y, x-y, x*y,
      `if`(y=0, [][], x/y)][], y=f(n-j)), x=f(j)), j=1..n-1)})
    end:
sort([select(z->z>=0 and is(z, integer), f(10))[]])[];

Crossrefs

Cf. A171826, A171827, A171828, A171829, A258068, A258069, A258070.

Cf. A182002, A258097.

Sequence in context: A209662 A272813 A258070 * A266279 A296879 A296882

Adjacent sequences: A258068 A258069 A258070 * A258072 A258073 A258074

Keyword

nonn,look,fini,full

Author

Alois P. Heinz, May 18 2015

Status

approved