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A280089 a(n) = 4 * n^3 - 3 * n + 1. 3

%I #9 Dec 25 2016 15:43:40

%S 1,2,27,100,245,486,847,1352,2025,2890,3971,5292,6877,8750,10935,

%T 13456,16337,19602,23275,27380,31941,36982,42527,48600,55225,62426,

%U 70227,78652,87725,97470,107911,119072,130977,143650,157115,171396,186517,202502,219375

%N a(n) = 4 * n^3 - 3 * n + 1.

%H Daniel Suteu, <a href="/A280089/b280089.txt">Table of n, a(n) for n = 0..750</a>

%F a(n) = (2n - 1)^2 * (n + 1).

%F Prod_{k >= 1}(A033430(k) / a(k)) = Pi.

%t Table[4n^3 - 3n + 1, {n, 0, 39}] (* _Alonso del Arte_, Dec 25 2016 *)

%o (PARI) a(n) = (2*n-1)^2 * (n+1).

%Y Cf. A033430.

%K nonn,easy

%O 0,2

%A _Daniel Suteu_, Dec 25 2016

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Last modified April 23 16:40 EDT 2024. Contains 371916 sequences. (Running on oeis4.)