login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

a(n) = floor(n/11).
2

%I #13 Aug 03 2021 11:43:35

%S 0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,

%T 3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,6,6,

%U 6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8

%N a(n) = floor(n/11).

%C Terms agree with A064458 for all n < 121, but a(121) = 11 while A064458(121) = 12.

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,0,0,0,0,0,1,-1).

%F From _Chai Wah Wu_, May 18 2021: (Start)

%F a(n) = a(n-1) + a(n-11) - a(n-12) for n > 11.

%F G.f.: x^11/(x^12 - x^11 - x + 1). (End)

%t Floor[Range[0, 100]/11]

%t CoefficientList[Series[x^11/(x^12-x^11-x+1),{x,0,100}],x] (* or *) LinearRecurrence[{1,0,0,0,0,0,0,0,0,0,1,-1},{0,0,0,0,0,0,0,0,0,0,0,1},100] (* _Harvey P. Dale_, Aug 03 2021 *)

%Y Cf. A064458, A059995 (floor n/10).

%K nonn,easy

%O 0,23

%A _Wesley Ivan Hurt_, May 17 2021