A217176 a(n) is the first digit (from the left) to appear n times in succession in the decimal representation of the Lucas(A217166(n)).

2, 1, 3, 0, 2, 2, 9, 7, 2, 1, 1, 5, 5, 7, 7, 9

Offset

1,1

Links

Table of n, a(n) for n=1..16.

Mathematica

k = 0; Join[{2}, Table[While[d = IntegerDigits[LucasL[k]]; prt = Partition[Differences[d], n - 1, 1]; ! MemberQ[prt, Table[0, {n - 1}]], k++]; d[[Position[prt, Table[0, {n - 1}]][[1, 1]]]], {n, 2, 8}]] (* T. D. Noe, Oct 03 2012 *)

Prog

(Python)
def A217176(n):
....if n == 1:
........return 2
....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 range(10):
................if l[k] in s:
....................return k
............y, x = x, y+x
........return 'search limit reached'
# Chai Wah Wu, Dec 17 2014

Crossrefs

Cf. A217166.

Cf. A000032, A215732, A215733, A215734, A215735, A215736, A215737.

Sequence in context: A287873 A035157 A318995 * A335097 A334312 A087469

Adjacent sequences: A217173 A217174 A217175 * A217177 A217178 A217179

Keyword

nonn,base,hard

Author

V. Raman, Sep 27 2012

Extensions

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

a(12)-a(16) from Nick Hobson, Feb 03 2024

Status

approved