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.

A088889 Polynexus numbers of order 8.

This page as a plain text file.
%I A088889 #25 Aug 18 2025 23:36:42
%S A088889 0,1,26,245,1353,5368,17017,45878,109446,237291,476476,898403,1607255,
%T A088889 2750202,4529539,7216924,11169884,16850757,24848238,35901697,50928437,
%U A088889 71054060,97646109,132351154,177135490,234329615,306676656,397384911,510184675,649389518
%N A088889 Polynexus numbers of order 8.
%H A088889 Bruno Berselli, <a href="/A088889/b088889.txt">Table of n, a(n) for n = 1..1000</a>
%H A088889 X. Acloque, <a href="http://www.fortunecity.fr/polynexus/index.html">Polynexus Numbers and other mathematical wonders</a> [dead link, domain owned by a domain grabber].
%H A088889 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).
%F A088889 a(n) = ((n^8-(n-1)^8)-(n^4-(n-1)^4))/240 = ((n^8-(n-1)^8)-(n^4-(n-1)^4))/(2^8-2^4).
%F A088889 G.f.: x^2*(1+x)*(1+17*x+48*x^2+17*x^3+x^4)/(1-x)^8. - _Bruno Berselli_, Feb 10 2012
%t A088889 Table[((n^8 - (n - 1)^8) - (n^4 - (n - 1)^4))/240, {n, 26}] (* _Bruno Berselli_, Feb 10 2012 *)
%t A088889 LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{0,1,26,245,1353,5368,17017,45878},30] (* _Harvey P. Dale_, Oct 31 2024 *)
%Y A088889 Cf. A079547, A083200, A088890, A088891, A088892, A088893, A088894.
%K A088889 nonn,easy
%O A088889 1,3
%A A088889 Xavier Acloque, Oct 21 2003
%E A088889 First term added according to the formula from _Bruno Berselli_, Feb 10 2012