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A113857 a(n) = binomial(4+2*n, n) * binomial(9+2*n, 4+n). 1

%I #8 Jan 08 2020 00:30:34

%S 126,2772,48048,772200,12033450,184940756,2824549728,43028530272,

%T 655081791000,9977399586000,152112583402560,2322021633001200,

%U 35496198345658050,543418421128852500,8331507823355640000,127919340117331963200,1966759854303978934200,30279186980267369086800

%N a(n) = binomial(4+2*n, n) * binomial(9+2*n, 4+n).

%C If one uses the "table" view of array A062190, the sequence appears as the fourth column right from the middle in the "formatted as a triangular array" subpanel.

%H Andrew Howroyd, <a href="/A113857/b113857.txt">Table of n, a(n) for n = 0..200</a>

%F a(n) = A062190(4+2*n, 4+n).

%F a(n) = A002694(n+2)*A001700(n+4). - _R. J. Mathar_, Nov 28 2008

%e a(0) = C(4+2*n,n)*C(9+2*n,4+n) = C(4,0)*C(9,4) = 1*126 = 126.

%e a(7) = C(4+2*7,7)*C(9+2*7,4+7) = C(18,7)*C(23,11) = 31824*1352078 = 43028530272.

%o (PARI) a(n)={binomial(4+2*n, n) * binomial(9+2*n, 4+n)} \\ _Andrew Howroyd_, Jan 07 2020

%Y Cf. A062190.

%K easy,nonn

%O 0,1

%A _Zerinvary Lajos_, Feb 02 2006

%E Rephrased definition. - _R. J. Mathar_, Nov 28 2008

%E Edited and more terms added by _Andrew Howroyd_, Jan 07 2020

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Last modified June 8 12:22 EDT 2024. Contains 373217 sequences. (Running on oeis4.)