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A048340 a(n) in base 16 is a repdigit. 3

%I #23 May 30 2016 18:26:32

%S 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,34,51,68,85,102,119,136,153,

%T 170,187,204,221,238,255,273,546,819,1092,1365,1638,1911,2184,2457,

%U 2730,3003,3276,3549,3822,4095,4369,8738,13107,17476,21845,26214,30583

%N a(n) in base 16 is a repdigit.

%H Vincenzo Librandi, <a href="/A048340/b048340.txt">Table of n, a(n) for n = 0..1500</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Repdigit.html">Repdigit</a>

%F From _Chai Wah Wu_, May 30 2016: (Start)

%F a(n) = 17*a(n-15) - 16*a(n-30) for n > 29.

%F x*(15*x^14 + 14*x^13 + 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)/(16*x^30 - 17*x^15 + 1).

%F (End)

%F a(n) = (n - 15*floor((n-1)/15))*(16^floor((n+14)/15) - 1)/15. - _Ilya Gutkovskiy_, May 30 2016

%t Union[Flatten[Table[FromDigits[PadRight[{}, n, d], 16], {n, 0, 50}, {d, 15}]]] (* _Vincenzo Librandi_, Feb 06 2014 *)

%o (Python)

%o A048340_list = [0] + [int(d*l,16) for l in range(1,10) for d in '123456789abcdef'] # _Chai Wah Wu_, May 30 2016

%Y Cf. A010785, A033029, A028987, A028988.

%K nonn,base,easy

%O 0,3

%A _Patrick De Geest_, Feb 15 1999

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Last modified July 15 01:36 EDT 2024. Contains 374323 sequences. (Running on oeis4.)