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 A067332 #8 Jul 31 2015 11:48:31 %S A067332 3,8,19,40,80,154,289,532,965,1730,3072,5412,9471,16480,28535,49196, %T A067332 84496,144638,246845,420140,713353,1208518,2043264,3448200,5809275, %U A067332 9771704,16413019,27530992,46122320 %N A067332 Convolution of Fibonacci F(n+1), n>=0, with F(n+4), n>=0. %C A067332 Fourth diagonal of A067330. Fourth column of A067418. %H A067332 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (2, 1, -2, -1). %F A067332 a(n)= A067330(n+3, n) = A067418(n+3, 3) = sum(F(k+1)*F(n+4-k), k=0..n), n>=0. %F A067332 a(n)= ((11*n+15)*F(n+1)+7*(n+1)*F(n))/5, with F(n) := A000045(n) (Fibonacci). %F A067332 G.f.: (3+2*x)/(1-x-x^2)^2. %F A067332 a(0)=3, a(1)=8, a(2)=19, a(3)=40, a(n)=2*a(n-1)+a(n-2)-2*a(n-3)-a(n-4). - _Harvey P. Dale_, Aug 25 2014 %t A067332 Table[((11n+15)Fibonacci[n+1]+7(n+1)Fibonacci[n])/5,{n,0,30}] (* or *) LinearRecurrence[{2,1,-2,-1},{3,8,19,40},30] (* _Harvey P. Dale_, Aug 25 2014 *) %K A067332 nonn,easy %O A067332 0,1 %A A067332 _Wolfdieter Lang_, Feb 15 2002