A116962 Floor of the base n Log of the number obtained concatenating n with itself n times.

4, 5, 6, 6, 7, 8, 8, 9, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 56, 57, 58, 59, 60, 61, 62, 63, 63, 64, 65, 66, 67, 68, 69, 69, 70, 71, 72, 73, 74, 74, 75, 76, 77, 78

Offset

2,1

Comments

a(100)=149, a(1000)=1333, a(10000)=12499.

Links

Table of n, a(n) for n=2..73.

Example

a(8)=8 since 88888888=8^8.802.

Mathematica

Table[Floor@Log[n, FromDigits@Flatten@IntegerDigits@Array[n &, n]], {n, 2, 60}]

Crossrefs

Sequence in context: A319500 A022911 A162310 * A273777 A023846 A338625

Adjacent sequences: A116959 A116960 A116961 * A116963 A116964 A116965

Keyword

base,nonn

Author

Giovanni Resta, Apr 04 2006

Status

approved