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A048329 a(n) in base 4 is a repdigit. 5
0, 1, 2, 3, 5, 10, 15, 21, 42, 63, 85, 170, 255, 341, 682, 1023, 1365, 2730, 4095, 5461, 10922, 16383, 21845, 43690, 65535, 87381, 174762, 262143, 349525, 699050, 1048575, 1398101, 2796202, 4194303, 5592405, 11184810, 16777215, 22369621 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..300

Eric Weisstein's World of Mathematics, Repdigit

Index entries for linear recurrences with constant coefficients, signature (0,0,5,0,0,-4).

FORMULA

G.f.: x*(1+2*x+3*x^2) / ( (x-1)*(4*x^3-1)*(1+x+x^2) ) with a(n) = 5*a(n-3) - 4*a(n-6). - R. J. Mathar, Mar 15 2015

EXAMPLE

10_10 = 22_4, 15_10 = 33_4, 5461_10 = 1111111_4.

MATHEMATICA

Union[Flatten[Table[FromDigits[PadRight[{}, n, d], 4], {n, 0, 40}, {d, 3}]]](* Vincenzo Librandi, Feb 06 2014 *)

PROG

(MAGMA) [0] cat  [k:k in [1..10^7]| #Set(Intseq(k, 4)) eq 1]; // Marius A. Burtea, Oct 11 2019

CROSSREFS

Cf. A010785, A033017, A028987, A028988.

Base 4 repdigits 1,2,3 (trisections): A002450, A020988, A024036.

Sequence in context: A043851 A043859 A043868 * A252659 A004691 A133335

Adjacent sequences:  A048326 A048327 A048328 * A048330 A048331 A048332

KEYWORD

nonn,base

AUTHOR

Patrick De Geest, Feb 15 1999

STATUS

approved

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Last modified February 25 19:39 EST 2021. Contains 341618 sequences. (Running on oeis4.)