A048338 a(n) in base 14 is a repdigit.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 211, 422, 633, 844, 1055, 1266, 1477, 1688, 1899, 2110, 2321, 2532, 2743, 2955, 5910, 8865, 11820, 14775, 17730, 20685, 23640, 26595, 29550, 32505, 35460

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1300

Eric Weisstein's World of Mathematics, Repdigit

Formula

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

a(n) = 15*a(n-13) - 14*a(n-26) for n > 25.

G.f.: x*(13*x^12 + 12*x^11 + 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)/(14*x^26 - 15*x^13 + 1). (End)

a(n) = (n - 13*floor((n-1)/13))*(14^floor((n+12)/13) - 1)/13. - Ilya Gutkovskiy, May 30 2016

Mathematica

Union[Flatten[Table[FromDigits[PadRight[{}, n, d], 14], {n, 0, 50}, {d, 13}]]] (* Vincenzo Librandi, Feb 06 2014 *)

Prog

(Python)
A048338_list = [0] + [int(d*l, 14) for l in range(1, 10) for d in '123456789abcd'] # Chai Wah Wu, May 30 2016

Crossrefs

Cf. A010785, A033027, A028987, A028988.

Sequence in context: A029959 A297283 A048325 * A262524 A102450 A023782

Adjacent sequences: A048335 A048336 A048337 * A048339 A048340 A048341

Keyword

nonn,base,easy

Author

Patrick De Geest, Feb 15 1999

Status

approved