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 A248678 #7 Oct 17 2014 05:24:19
%S A248678 3,0,1,0,1,4,4,8,5,3,9,9,1,0,5,2,3,2,1,9,1,1,6,4,6,1,4,8,7,6,7,7,3,2,
%T A248678 7,6,3,9,3,1,8,3,7,7,0,2,6,1,7,5,6,1,1,0,7,9,9,7,1,8,8,1,1,9,5,6,5,8,
%U A248678 4,9,3,9,2,1,4,0,5,0,9,3,5,7,5,6,7,9
%N A248678 Decimal expansion of r = sum_{n >= 0} floor(2n/3)!/n!.
%H A248678 Clark Kimberling, <a href="/A248678/b248678.txt">Table of n, a(n) for n = 1..1000</a>
%F A248678 r = sum_{n >= 0} (9 n^2 + 14 n + 5) (2 n)!/(3 n + 2)!.
%e A248678 r = 3.0101448539910523219116461487677327...
%p A248678 evalf(sum(floor(2n/3)!/n!, n=0..infinity),120); # _Vaclav Kotesovec_, Oct 17 2014
%t A248678 x = N[Sum[Floor[2 n/3]!/n!, {n, 0, 200}], 120]
%t A248678 RealDigits[x][[1]] (* A248678 *)
%Y A248678 Cf. A248675, A248676, A248677.
%K A248678 nonn,easy,cons
%O A248678 1,1
%A A248678 _Clark Kimberling_, Oct 11 2014