This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A011853 #23 Jul 08 2025 02:40:42 %S A011853 0,0,0,0,0,0,0,0,1,5,17,47,113,245,490,919,1634,2778,4546,7198,11074, %T A011853 16611,24363,35022,49443,68671,93971,126861,169148,222968,290828, %U A011853 375653,480836,610292,768516,960645 %N A011853 a(n) = floor( binomial(n,7)/7 ). %H A011853 <a href="/index/Rec#order_50">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,7,7,-28,56,-70,56,-28,7,7,-28, 56,-70,56,-28,7,7, -28,56,-70,56,-28,7,7,-28,56, -70,56,-28,7,7,-28,56,-70,56,-28,7,7,-28,56, -70,56,-28,8,-1). %t A011853 Floor[Binomial[Range[0,40],7]/7] (* _Harvey P. Dale_, Oct 08 2012 *) %o A011853 (SageMath) [floor(binomial(n,7)/7) for n in range(0,36)] # _Zerinvary Lajos_, Dec 01 2009 %o A011853 (PARI) a(n)=binomial(n,7)\7 \\ _Charles R Greathouse IV_, Sep 28 2015 %Y A011853 Partial sums of A011797. %Y A011853 A column of triangle A011857. %K A011853 nonn,easy %O A011853 0,10 %A A011853 _N. J. A. Sloane_