A377663 - OEIS

%I #12 Nov 14 2024 23:49:04

%S 1,0,11,46,117,236,415,666,1001,1432,1971,2630,3421,4356,5447,6706,

%T 8145,9776,11611,13662,15941,18460,21231,24266,27577,31176,35075,

%U 39286,43821,48692,53911,59490,65441,71776,78507,85646,93205,101196,109631,118522,127881,137720

%N a(n) = 2*n^3 - 3*n + 1.

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).

%F a(n) = [x^n] (-2*x^3 + 17*x^2 - 4*x + 1)/(x - 1)^4.

%F a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n > 3. - _Chai Wah Wu_, Nov 14 2024

%p a := n -> 2*n^3 - 3*n + 1: seq(a(n), n = 0..41);

%t LinearRecurrence[{4,-6,4,-1},{1, 0, 11, 46},42] (* _James C. McMahon_, Nov 14 2024 *)

%Y Column 3 of A377666.

%K nonn

%O 0,3

%A _Peter Luschny_, Nov 14 2024