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 A084376 #10 May 18 2020 20:00:27
%S A084376 1,2,3,5,8,12,18,26,37,52,72,98,133,178,236,311,407,528,682,875,1117,
%T A084376 1419,1794,2257,2830,3533,4394,5446,6728,8283,10169,12446,15191,18492,
%U A084376 22453,27193,32860,39614,47652,57200,68523,81921,97757,116435,138436
%N A084376 G.f.: (1+x)/Product_{m>0} (1 - x^m).
%H A084376 Robert Price, <a href="/A084376/b084376.txt">Table of n, a(n) for n = 0..1000</a>
%F A084376 a(n) = A000041(n) + A000041(n-1), n>0.
%F A084376 a(n) ~ exp(sqrt(2*n/3)*Pi)/(2*sqrt(3)*n) * (1 - (sqrt(3/2)/Pi + 13*Pi/(24*sqrt(6)))/sqrt(n) + (13/16 + 313*Pi^2/6912)/n). - _Vaclav Kotesovec_, Nov 04 2016
%p A084376 seq(numbpart(k)+numbpart(k+1), k=0..43); # _Zerinvary Lajos_, Jun 06 2007
%t A084376 Table[PartitionsP[n] + PartitionsP[n - 1], {n, 0, 44}] (* _Robert Price_, May 18 2020 *)
%Y A084376 Cf. A052816.
%K A084376 nonn
%O A084376 0,2
%A A084376 _Vladeta Jovovic_, Jun 23 2003