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.

A203774 Square root of v(2n)/v(2n-1), where v=A203773.

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%I A203774 #14 Nov 27 2016 05:21:49
%S A203774 1,10,390,34000,5255380,1267531200,439881715000,207679463680000,
%T A203774 128024359806330000,99861207456574720000,96148662977402249500000,
%U A203774 112000625784958629888000000,155250403381700932802965000000
%N A203774 Square root of v(2n)/v(2n-1), where v=A203773.
%C A203774 See A203773.
%F A203774 Define a sequence f(n) by means of the double product f(n) = |product {1 <= a, b <= n} (a + b*i)|, a sort of 2-dimensional analog of n!. Then a(n) = f(n)/(f(1)*f(n-1)) is the first column of the triangle ( f(n)/(f(k)*f(n-k)) ) 0<=k<=n, an analog of Pascal's triangle. - _Peter Bala_, Sep 21 2013
%F A203774 a(n) = gamma((1-i)*n)*gamma((1+i)*n)*sinh(n*Pi)/Pi (conjecture). - _Velin Yanev_, Nov 15 2016
%e A203774 Triangle ( f(n)/(f(k)*f(n-k)) )0<=k<=n begins
%e A203774 1
%e A203774 1     1
%e A203774 1    10        1
%e A203774 1   390      390      1
%e A203774 1 34000  1326000  34000     1
%e A203774 - _Peter Bala_, Sep 21 2013
%t A203774 (See A203773.)
%Y A203774 Cf. A203750, A203773.
%K A203774 nonn
%O A203774 1,2
%A A203774 _Clark Kimberling_, Jan 05 2012