A048336 a(n) in base 12 is a repdigit.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 157, 314, 471, 628, 785, 942, 1099, 1256, 1413, 1570, 1727, 1885, 3770, 5655, 7540, 9425, 11310, 13195, 15080, 16965, 18850, 20735, 22621, 45242, 67863, 90484, 113105

Offset

0,3

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Eric Weisstein's World of Mathematics, Repdigit

Formula

From Chai Wah Wu, May 30 2016: (Start)

a(n) = 13*a(n-11) - 12*a(n-22) for n > 21.

G.f.: x*(11*x^10 + 10*x^9 + 9*x^8 + 8*x^7 + 7*x^6 + 6*x^5 + 5*x^4 + 4*x^3 + 3*x^2 + 2*x + 1)/(12*x^22 - 13*x^11 + 1). (End)

a(n) = (n - 11*floor((n-1)/11))*(12^floor((n+10)/11) - 1)/11. - Ilya Gutkovskiy, May 30 2016

Mathematica

Join[{0}, Sort[Flatten[Table[FromDigits[Table[n, {i}], 12], {n, 11}, {i, 99}]]]] (* Harvey P. Dale, May 01 2013 *)

Prog

(Python)
A048336_list = [0] + [int(d*l, 12) for l in range(1, 10) for d in '123456789ab'] # Chai Wah Wu, May 30 2016

Crossrefs

Cf. A010785, A033025, A028987, A028988.

Sequence in context: A029957 A297277 A048323 * A130574 A023780 A035064

Adjacent sequences: A048333 A048334 A048335 * A048337 A048338 A048339

Keyword

nonn,base,easy

Author

Patrick De Geest, Feb 15 1999

Status

approved