A216787 - OEIS

%I #10 Jan 03 2021 14:08:33

%S 1,132,18216,2550240,359583840,50917071744,7230224187648,

%T 1028757612985344,146597959850411520,20914642271992043520,

%U 2986610916440463814656,426813850967673556058112,61034380688377318516310016,8732611390798600956948971520,1250010944797171165551838494720

%N a(n) = Product_{k=1..n} (144 - 12/k).

%C This sequence is generalizable: Product_{k=1..n} (q^2 - q/k) = (q^n/n!) * Product_{k=0..n-1} (q*k + q-1) = expansion of (1- x*q^2)^((1-q)/q).

%p seq(product(144-12/k, k=1.. n), n=0..20);

%p seq((12^n/n!)*product(12*k+11, k=0.. n-1), n=0..20);

%t Join[{1},FoldList[Times,144-12/Range[20]]] (* _Harvey P. Dale_, Dec 22 2015 *)

%Y Cf. A004988, A049382, A004994, A216702, A216703, A216704, A216705, A216706, A216786.

%K nonn

%O 0,2

%A _Michel Lagneau_, Sep 16 2012