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A216655 Number of n-digit 5th powers. 2
2, 1, 1, 3, 3, 6, 10, 14, 24, 36, 59, 93, 147, 232, 369, 585, 927, 1470, 2328, 3690, 5849, 9270, 14692, 23285, 36904, 58490, 92699, 146919, 232850, 369042, 584894, 926993, 1469185, 2328502, 3690426, 5848932, 9269933, 14691853, 23285017, 36904265, 58489320 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

EXAMPLE

a(1) = 2: 0, 1.

a(2) = 1: 32.

a(3) = 1: 243.

a(4) = 3: 1024, 3125, 7776.

a(5) = 3: 16807, 32768, 59049.

a(6) = 6: 100000, 161051, 248832, 371293, 537824, 759375.

a(7) = 10: 1048576, 1419857, 1889568, 2476099, 3200000, 4084101, 5153632, 6436343, 7962624, 9765625.

MAPLE

r:= proc(n, k) local b; b:= iroot(n, k); b+`if`(b^k<n, 1, 0) end:

a:= n-> r(10^n, 5) -r(10^(n-1), 5) +`if`(n=1, 1, 0):

seq(a(n), n=1..50);

CROSSREFS

Column k=5 of A216653.

Sequence in context: A184834 A276777 A219876 * A242884 A197219 A120013

Adjacent sequences:  A216652 A216653 A216654 * A216656 A216657 A216658

KEYWORD

nonn,base

AUTHOR

Alois P. Heinz, Sep 12 2012

STATUS

approved

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Last modified August 21 13:36 EDT 2017. Contains 290890 sequences.