cp's OEIS Frontend

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.

A131690 a(n) = Product_{k=1..n} A008578(k)^A008578(n-k+1).

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%I A131690 #13 Feb 28 2025 15:14:35
%S A131690 1,2,12,360,151200,2095632000,7551819475200000,
%T A131690 7286477990937425280000000,16326289449604557795871699200000000000,
%U A131690 48235535472088469901966394717904245153920000000000000,1927704301314417844667587261525561805756528196513768633600000000000000000
%N A131690 a(n) = Product_{k=1..n} A008578(k)^A008578(n-k+1).
%C A131690 Exponents of the prime factorization are the primes in reverse order. Similar to A087315, but where the largest prime factor has an exponent of one instead of two (and 1^n is understood to be the first term).
%F A131690 a(n) = Product_{k=1..n} A008578(k)^A008578(n-k+1) where A008578 is the sequence of primes prepended with 1.
%e A131690 a(5) = 1^7 * 2^5 * 3^3 * 5^2 * 7^1 = 151200.
%t A131690 s={};Do[p1=Join[{1},Prime[Range[n-1]]];AppendTo[s,Product[p1[[k]]^p1[[n-k+1]],{k,n}]],{n,11}];s (* _James C. McMahon_, Feb 27 2025 *)
%Y A131690 Cf. A008578, A087315, A076265, A076265.
%K A131690 nonn
%O A131690 1,2
%A A131690 _Darse Billings_, Sep 14 2007
%E A131690 a(11) from _James C. McMahon_, Feb 27 2025