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

Author

Alois P. Heinz, Sep 12 2012

Keywords

• nonn
• base

Examples

			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.
		

Links

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

Crossrefs

Column k=10 of A216653.

Programs

Maple

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