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%I #20 May 07 2017 12:07:05
%S 6,12,12,12,210,168,504,72,198,660,1716,1092,546,336,4080,2448,5814,
%T 684,1596,4620,10626,6072,2760,1560,17550,9828,21924,2436,5394,14880,
%U 32736,17952,7854,4284,46620,25308,54834
%N Denominator of the sixth increasing diagonal of the autosequence of the second kind from (-1)^n/(n+1).
%C See A194767. a(n) is a multiple of 6. The terms 6, 210, 504, 1716, 4080, 5814, ... have the form k*(k+1)*(k+2), for k = 1, 5, 7, 11, 15, 17, 21, 25, ... .
%H OEIS Wiki, <a href="https://oeis.org/wiki/Autosequence">Autosequence</a>
%H Wikipedia, <a href="https://fr.wikipedia.org/wiki/Autosuite_de_nombres">Autosuite de nombres</a> (in French).
%F a(n) = A007531(n+3)/s(n) = (n+1)*(n+2)*(n+3)/s(n) where s(n) repeats 1, 2, 5, 10, 1, 2, 1, 10, 5, 2.
%F a(n) = (n+1)*(n+2)*(n+3)*a(n-10)/((n-7)*(n-8)*(n-9)) for n>9 (empirical). - _Jean-François Alcover_, Nov 29 2016
%Y Cf. A208950(n+2).
%K nonn
%O 0,1
%A _Paul Curtz_, Oct 25 2012