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 A374855 #4 Aug 04 2024 20:47:03 %S A374855 1,7,49,392,3528,38808,543312,10322928,278719056,11148762240, %T A374855 680074496640,64607077180800,9691061577120000,2316163716931680000, %U A374855 887090703584833440000,546447873408257399040000,542622738294399597246720000,869824249485922554386492160000 %N A374855 a(n) = (1/6)*Product_{k=0..n} F(k)+6, where F=A000045 (Fibonacci numbers). %C A374855 Trivially, a(n+1)/a(n) is an integer for n>=0, so (a(n)) is a divisibility sequence. %t A374855 q[n_] := Fibonacci[n] %t A374855 p[n_] := Product[q[k] + 6, {k, 0, n}] %t A374855 Table[(1/6)*Simplify[p[n]], {n, 0, 20}] %Y A374855 Cf. A000045. %K A374855 nonn %O A374855 0,2 %A A374855 _Clark Kimberling_, Aug 04 2024