A216654 Number of n-digit 10th powers.

2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 3, 3, 4, 6, 6, 8, 11, 13, 16, 20, 26, 33, 41, 52, 65, 82, 103, 129, 164, 205, 259, 326, 411, 516, 651, 819, 1030, 1298, 1634, 2056, 2590, 3259, 4104, 5166, 6504, 8188, 10308, 12977, 16337, 20567, 25893, 32597, 41037, 51662, 65039

Offset

1,1

Links

Alois P. Heinz, Table of n, a(n) for n = 1..1000

Example

a(1) = 2: 0, 1.
a(4) = 1: 1024.
a(5) = 1: 59049.
a(7) = 2: 1048576, 9765625.
a(10) = 2: 1073741824, 3486784401.
a(11) = 3: 10000000000, 25937424601, 61917364224.

Maple

r:= proc(n, k) local b; b:= iroot(n, k); b+`if`(b^k<n, 1, 0) end:
a:= n-> r(10^n, 10) -r(10^(n-1), 10) +`if`(n=1, 1, 0):
seq(a(n), n=1..60);

Crossrefs

Column k=10 of A216653.

Sequence in context: A280287 A147696 A001842 * A364014 A326016 A326033

Adjacent sequences: A216651 A216652 A216653 * A216655 A216656 A216657

Keyword

nonn,base

Author

Alois P. Heinz, Sep 12 2012

Status

approved