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A114059 a(n) = binomial(3+2*n, n) * binomial(8+2*n, 3+n). 1

%I #6 Jan 08 2020 00:30:52

%S 56,1050,16632,252252,3775200,56316546,840639800,12575971408,

%T 188663555808,2838687761000,42836302222560,648207031545000,

%U 9834444563299200,149569451148798450,2279905857066915000,34825702701626575200,532997250488883180000,8172044956118671828200

%N a(n) = binomial(3+2*n, n) * binomial(8+2*n, 3+n).

%H Andrew Howroyd, <a href="/A114059/b114059.txt">Table of n, a(n) for n = 0..200</a>

%F a(n) = A062190(3+2*n, 3+n).

%e a(0) = C(3+2*0,0)*C(8+2*0,3+0) = C(3,0)*C(8,3) = 1*56 = 56.

%e a(10) = C(3+2*10,10)*C(8+2*10,3+10) = C(23,10)*C(28,13) = 1144066*37442160 = 42836302222560.

%o (PARI) a(n)={binomial(3+2*n, n) * binomial(8+2*n, 3+n)} \\ _Andrew Howroyd_, Jan 07 2020

%Y Cf. A062190.

%K easy,nonn

%O 0,1

%A _Zerinvary Lajos_, Feb 02 2006

%E Name edited and terms a(11) and beyond from _Andrew Howroyd_, Jan 07 2020

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Last modified April 24 00:30 EDT 2024. Contains 371917 sequences. (Running on oeis4.)