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 A083013 #16 Sep 28 2016 10:21:10
%S A083013 0,1,-8,28,64,-980,-3104,81172,339328,-11878244,-61958240,2674671076,
%T A083013 16735235392,-855605816468,-6245150369696,368601472639540,
%U A083013 3074742020313856,-205700802920736452,-1930357641628367072,144338957346266943364,1505019970814899568320
%N A083013 a(n) = Sum_{k=0..n-1} 9^k*B(k)*binomial(n,k) where B(k) is the k-th Bernoulli number.
%H A083013 Seiichi Manyama, <a href="/A083013/b083013.txt">Table of n, a(n) for n = 0..424</a>
%t A083013 Range[0, 15]! CoefficientList[ Series[ 9x/(1 + Exp[x] + Exp[ 2x] + Exp[ 3x] + Exp[ 4x] + Exp[ 5x] + Exp[ 6x] + Exp[ 7x] + Exp[ 8x]), {x, 0, 15}], x] (* _Robert G. Wilson v_, Oct 26 2012 *)
%t A083013 Table[Sum[9^k BernoulliB[k]Binomial[n,k],{k,0,n-1}],{n,0,20}] (* _Harvey P. Dale_, Apr 13 2016 *)
%o A083013 (PARI) a(n)=sum(k=0,n-1,9^k*binomial(n,k)*bernfrac(k))
%Y A083013 Cf. A001469.
%Y A083013 Cf. A036968, A083007, A083008, A083009, A083010, A083011, A083012, A083014.
%K A083013 sign
%O A083013 0,3
%A A083013 _Benoit Cloitre_, May 31 2003
%E A083013 Offset changed to 0 by _Seiichi Manyama_, Sep 28 2016