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A217182 a(n) is the number of digits in the decimal representation of the smallest power of n that contains seven consecutive identical digits. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified February 5 08:15 EST 2023. Contains 360082 sequences. (Running on oeis4.)