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 A123558 #11 Sep 16 2024 23:59:12
%S A123558 2,18,1350,24806250,94588417300781250,
%T A123558 117849324069921797604001373181152343750,
%U A123558 527608657124852026883960737403192593816085584608183988660956158325750160217285156250
%N A123558 Multiplicative encoding of the (1,2)-Pascal triangle (or Lucas triangle) A029635.
%C A123558 This is to A029635 the (1,2)-Pascal triangle (or Lucas triangle) read by rows" as A007188 "Multiplicative encoding of Pascal triangle: Product p(i+1)^C(n,i)" is to A007318 "Pascal's triangle read by rows."
%F A123558 a(n) = Product_{i=0..n} prime(i+1)^T(n,i), where T(n,i) are the (1,2)-Pascal triangle (or Lucas triangle) as in A029635.
%e A123558 a(1) = 2^1 = 2.
%e A123558 a(2) = 2^1 * 3^2 = 18.
%e A123558 a(3) = 2^1 * 3^3 * 5^2 = 1350.
%e A123558 a(4) = 2^1 * 3^4 * 5^5 * 7^2 = 24806250.
%e A123558 a(5) = 2^1 * 3^5 * 5^9 * 7^7 * 11^2 = 94588417300781250.
%e A123558 a(6) = 2^1 * 3^6 * 5^14 * 7^16 * 11^9 * 13^2 = 117849324069921797604001373181152343750.
%Y A123558 Cf. A000040, A007188, A007318, A009766, A029635.
%K A123558 easy,nonn
%O A123558 1,1
%A A123558 _Jonathan Vos Post_, Nov 04 2006