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.
%I A088891 #25 Aug 18 2025 23:36:38
%S A088891 0,1,38,481,3355,16120,60071,186238,502386,1215435,2694340,5559191,
%T A088891 10803013,19953466,35282365,60071660,98945236,158276613,246683346,
%U A088891 375619645,560079455,819422956,1178340163,1667966026,2327162150,3203980975,4357328976,5858846163
%N A088891 Polynexus numbers of order 9.
%H A088891 Bruno Berselli, <a href="/A088891/b088891.txt">Table of n, a(n) for n = 1..1000</a>
%H A088891 X. Acloque, <a href="http://www.fortunecity.fr/polynexus/index.html">Polynexus Numbers and other mathematical wonders</a> [broken link]
%H A088891 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1).
%F A088891 a(n) = ((n^9-(n-1)^9)-(n^3-(n-1)^3))/504 = ((n^9-(n-1)^9)-(n^3-(n-1)^3))/(2^9-2^3).
%F A088891 a(1)=1, a(2)=38, a(3)=481, a(4)=3355, a(5)=16120, a(6)=60071, a(7)=186238, a(8)=502386, a(9)=1215435, a(n)=9*a(n-1)-36*a(n-2)+ 84*a(n-3)- 126*a(n-4)+126*a(n-5)-84*a(n-6)+36*a(n-7)-9*a(n-8)+a(n-9). - _Harvey P. Dale_, Jan 18 2012
%F A088891 G.f.: x^2*(1+29*x+175*x^2+310*x^3+175*x^4+29*x^5+x^6)/(1-x)^9. - _Bruno Berselli_, Feb 10 2012
%t A088891 Table[((n^9-(n-1)^9)-(n^3-(n-1)^3))/504,{n,30}] (* or *) LinearRecurrence[ {9,-36,84,-126,126,-84,36,-9,1},{0,1,38,481,3355,16120,60071,186238,502386},30] (* _Harvey P. Dale_, Jan 18 2012 *)
%Y A088891 Cf. A079547, A083200, A088889, A088890, A088892, A088893, A088894.
%K A088891 nonn,easy
%O A088891 1,3
%A A088891 Xavier Acloque, Oct 21 2003
%E A088891 Offset changed and first term added (according to the formula) from _Bruno Berselli_, Feb 08 2012