|
%I #17 Oct 30 2022 08:59:39
%S 1,1,2,10,89,1002,12592,168805,2363241,34138860,505042286,7612594936,
%T 116492572621,1804984878387,28260999959595,446441276449715,
%U 7106718529937710,113886198966545724
%N Expansion of 1/(1 - x*A002296(x)).
%H Vladimir Kruchinin and D. V. Kruchinin, <a href="http://arxiv.org/abs/1103.2582">Composita and their properties </a>, arXiv:1103.2582 [math.CO], 2011-2013.
%F a(n) = Sum_{k=1..n} (k/(6*n-5*k))*binomial(7*n-6*k-1, n-k), n > 0.
%p A186184 := proc(n)
%p if n = 0 then
%p 1;
%p else
%p add( k/(6*n-5*k)*binomial(7*n-6*k-1,n-k), k=1..n) ;
%p end if;
%p end proc:
%p seq(A186184(n),n=0..20) ; # _R. J. Mathar_, Feb 26 2011
%t Join[{1},Table[Sum[k/(6n-5k) Binomial[7n-6k-1,n-k],{k,n}],{n,30}]] (* _Harvey P. Dale_, Aug 29 2012 *)
%K nonn
%O 0,3
%A _Vladimir Kruchinin_, Feb 14 2011
|
