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 A362037 #23 Apr 07 2023 23:28:30
%S A362037 2,4,9,18,43,88,183,370,761,1536,3081,6202,12427,24908,49875,99834,
%T A362037 199769,399572,799289,1598726,3197557,6395400,12791045,25582310,
%U A362037 51164767,102329800,204659929,409320270,818640731,1637281876,3274564199,6549128694,13098257783,26196515972
%N A362037 Sums of the rows in A362034.
%e A362037 a(3) = 9, the 3rd row in A362034 is 2 5 2; and 2 + 5 + 2 = 9.
%e A362037 a(4) = 18, the 4th row in A362034 is 2, 7, 7, 2; and 2+7+7+2 = 18.
%t A362037 T[n_, 0] := T[n, n] = 2; T[n_, k_] := T[n, k] = NextPrime[T[n - 1, k - 1] + T[n - 1, k] - 1]; Total /@ Table[T[n, k], {n, 0, 33}, {k, 0, n}] (* _Michael De Vlieger_, Apr 06 2023 *)
%Y A362037 Cf. A362034.
%K A362037 nonn
%O A362037 1,1
%A A362037 _Jack Braxton_, Apr 05 2023