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A254232 Product of Perrin numbers A001608(2) * ... * A001608(n). 2

%I #20 Jan 07 2022 01:08:31

%S 2,6,12,60,300,2100,21000,252000,4284000,94248000,2733192000,

%T 106594488000,5436318888000,369669684384000,33270271594560000,

%U 3959162319752640000,625547646520917120000,130739458122871678080000,36214829900035454828160000

%N Product of Perrin numbers A001608(2) * ... * A001608(n).

%H Chai Wah Wu, <a href="/A254232/b254232.txt">Table of n, a(n) for n = 2..127</a>

%F a(n) ~ c * r^(n*(n+1)/2), where r = A060006 = 1.324717957244746025960908854478... is the root of the equation r^3 = r + 1, c = 0.81845731383668335747954234022593868885066763327809025622515304041339344876... .

%t Table[Product[SeriesCoefficient[(3-x^2)/(1-x^2-x^3),{x,0,k}],{k,2,n}], {n,2,20}]

%o (Python)

%o A254232_list, a, b, c, d = [2], 3, 0, 2, 2

%o for _ in range(200):

%o a, b, c = b, c, a+b

%o d *= c

%o A254232_list.append(d) # _Chai Wah Wu_, Jan 28 2015

%Y Cf. A001608, A003266, A060006, A126772, A135407, A254231.

%K nonn

%O 2,1

%A _Vaclav Kotesovec_, Jan 27 2015

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)