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A111779 Sixth column (m=5) of unsigned triangle A111595. 0

%I #5 Jun 08 2016 15:48:38

%S 1,30,651,12600,235494,4396140,83471850,1627358040,32754696975,

%T 682573101210,14749179169725,330654317994000,7691170398011100,

%U 185559161386599000,4641068950134516900,120256269348313098000

%N Sixth column (m=5) of unsigned triangle A111595.

%F E.g.f. (1/sqrt(1-x^2))*((x/(1-x))^5)/5!.

%F a(n)=(n!/5!)*sum(binomial(2*k, k)*binomial(n-2*k-1, 4)/(4^k), k=0..floor((n-5)/2)), n>=5.

%F Conjecture: +(-n+5)*a(n) +5*n*a(n-1) +n*(n-1)^2*a(n-2)=0. - _R. J. Mathar_, Jun 08 2016

%K nonn,easy

%O 5,2

%A _Wolfdieter Lang_, Aug 23 2005

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Last modified April 19 15:34 EDT 2024. Contains 371794 sequences. (Running on oeis4.)