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A217166 a(n) is the least value of k such that the decimal expansion of Lucas(k) contains n consecutive identical digits. 3
0, 5, 36, 78, 112, 538, 3139, 6436, 17544, 82864, 328448 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(12) > 1512000. - Chai Wah Wu, Dec 17 2014

LINKS

Table of n, a(n) for n=1..11.

MATHEMATICA

k = 0; Join[{0}, Table[While[d = IntegerDigits[LucasL[k]]; ! MemberQ[Partition[Differences[d], n - 1, 1], Table[0, {n - 1}]], k++]; k, {n, 2, 8}]] (* T. D. Noe, Oct 02 2012 *)

PROG

(Python)

def A217166(n):

....if n == 1:

........return 0

....else:

........l, y, x = [str(d)*n for d in range(10)], 2, 1

........for m in range(1, 10**9):

............s = str(x)

............for k in l:

................if k in s:

....................return m

............y, x = x, y+x

........return 'search limit reached'

# Chai Wah Wu, Dec 17 2014

CROSSREFS

Cf. A000032, A045875, A215727, A215728, A215729, A215730, A215731.

Sequence in context: A073456 A275223 A003350 * A275143 A276249 A027765

Adjacent sequences:  A217163 A217164 A217165 * A217167 A217168 A217169

KEYWORD

nonn,base,hard

AUTHOR

V. Raman, Sep 27 2012

EXTENSIONS

a(11) from Chai Wah Wu, Dec 17 2014

STATUS

approved

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Last modified May 21 11:12 EDT 2019. Contains 323443 sequences. (Running on oeis4.)