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Numbers of the form i*6^j-1 (i=1..5, j >= 0).
9

%I #21 May 05 2024 03:30:28

%S 0,1,2,3,4,5,11,17,23,29,35,71,107,143,179,215,431,647,863,1079,1295,

%T 2591,3887,5183,6479,7775,15551,23327,31103,38879,46655,93311,139967,

%U 186623,233279,279935,559871,839807,1119743,1399679,1679615,3359231,5038847,6718463,8398079,10077695,20155391,30233087

%N Numbers of the form i*6^j-1 (i=1..5, j >= 0).

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,6,-6).

%F G.f.: x^2*(x^4+x^3+x^2+x+1) / ((x-1)*(6*x^5-1)). [_Colin Barker_, Feb 01 2013]

%t Union[Flatten[Table[i*6^j-1,{j,0,20},{i,5}]]] (* _Harvey P. Dale_, Nov 12 2012 *)

%Y Smallest number whose base b sum of digits is n: A000225 (b=2), A062318 (b=3), A180516 (b=4), A181287 (b=5), this sequence (b=6), A181303 (b=7), A165804 (b=8), A140576 (b=9), A051885 (b=10). - _Jason Kimberley_, Nov 02 2011

%K nonn,easy

%O 1,3

%A _N. J. A. Sloane_, Jan 25 2011