cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A377663 a(n) = 2*n^3 - 3*n + 1.

This page as a plain text file.
%I A377663 #14 Aug 05 2025 12:26:47
%S A377663 1,0,11,46,117,236,415,666,1001,1432,1971,2630,3421,4356,5447,6706,
%T A377663 8145,9776,11611,13662,15941,18460,21231,24266,27577,31176,35075,
%U A377663 39286,43821,48692,53911,59490,65441,71776,78507,85646,93205,101196,109631,118522,127881,137720
%N A377663 a(n) = 2*n^3 - 3*n + 1.
%H A377663 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A377663 a(n) = [x^n] (-2*x^3 + 17*x^2 - 4*x + 1)/(x - 1)^4.
%F A377663 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 A377663 a := n -> 2*n^3 - 3*n + 1: seq(a(n), n = 0..41);
%t A377663 LinearRecurrence[{4,-6,4,-1},{1, 0, 11, 46},42] (* _James C. McMahon_, Nov 14 2024 *)
%o A377663 (Magma) [2*n^3 - 3*n + 1 : n in [0..60]]; // _Wesley Ivan Hurt_, Aug 05 2025
%Y A377663 Column 3 of A377666.
%K A377663 nonn
%O A377663 0,3
%A A377663 _Peter Luschny_, Nov 14 2024