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.

A090907 Ratio of products of successive rows of the irregular triangle defined in A090905.

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%I A090907 #8 Dec 15 2016 10:39:23
%S A090907 2,6,140,1287,2139552000,2949442889323392,
%T A090907 322686644032484531917367528014184448000000
%N A090907 Ratio of products of successive rows of the irregular triangle defined in A090905.
%C A090907 Conjecture: For n > 4 the last term of the n-th group is 2p where p is the largest prime in the (n-1)th group. And these are the Bertrand primes.
%e A090907 a(1)=(2!/1!)*(0!/1!)
%e A090907 a(2)=(4!/2!)*(1!/2!)
%e A090907 a(3)=(8!/4!)*(2!/4!)
%e A090907 a(4)=(14!/8!)*(4!/8!)
%e A090907 a(5)=(26!/14!)*(8!/14!)
%e A090907 a(6)=(46!/26!)*(14!/26!)
%e A090907 For n>=6 we have a(n)= ((2*A006992(n))!/(2*A006992(n-1))!)*((2*A006992(n-2))!/(2*A006992(n-1))!), verified for 4<n<21
%Y A090907 Cf. A090904, A090905, A090906.
%K A090907 nonn
%O A090907 1,1
%A A090907 _Amarnath Murthy_, Dec 13 2003
%E A090907 Edited by Mohammed Bouayoun (bouyao(AT)wanadoo.fr), Mar 05 2004