A217182 a(n) is the number of digits in the decimal representation of the smallest power of n that contains seven consecutive identical digits.

293, 1014, 293, 1948, 1170, 1658, 293, 1014, 8, 1378, 2092, 571, 1207, 3058, 293, 3045, 1866, 1203, 10, 1435, 1434, 325, 4014, 1948, 990, 1014, 1019, 2291, 11, 427, 2576, 1420, 3408, 1838, 2112, 1086, 1868, 713, 12, 1428, 2190, 1332, 1064, 2770, 1881, 917, 560

Offset

2,1

Comments

Number of digits in n^k is equal to floor(1 + k*log_10(n)).

Links

V. Raman, Table of n, a(n) for n = 2..1000

Mathematica

Table[k = 1; While[d = IntegerDigits[n^k]; ! MemberQ[Partition[Differences[d], 6, 1], {0, 0, 0, 0, 0, 0}], k++]; Length[d], {n, 2, 100}] (* T. D. Noe, Oct 03 2012 *)

Crossrefs

Cf. A217162, A217172.

Sequence in context: A142847 A142558 A251674 * A109562 A023305 A109182

Adjacent sequences: A217179 A217180 A217181 * A217183 A217184 A217185

Keyword

nonn,base

Author

V. Raman, Sep 27 2012

Status

approved