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 A088890 #22 Aug 18 2025 23:36:46 %S A088890 0,1,25,234,1290,5115,16211,43700,104244,226005,453805,855646,1530750, %T A088890 2619279,4313895,6873320,10638056,16048425,23665089,34192210,48503410, %U A088890 67670691,92996475,126048924,168700700,223171325,292073301,378462150,485890534,618466615 %N A088890 Polynexus numbers of order 8. %H A088890 Bruno Berselli, <a href="/A088890/b088890.txt">Table of n, a(n) for n = 1..1000</a> %H A088890 X. Acloque, <a href="http://www.fortunecity.fr/polynexus/index.html">Polynexus Numbers and other mathematical wonders</a> [broken link] %H A088890 <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 A088890 a(n) = ((n^8-(n-1)^8)-(n^2-(n-1)^2))/252 = ((n^8-(n-1)^8)-(n^2-(n-1)^2))/(2^8-2^2). %F A088890 G.f.: x^2*(1+x)*(1+16*x+46*x^2+16*x^3+x^4)/(1-x)^8. - _Bruno Berselli_, Feb 10 2012 %t A088890 Table[((n^8 - (n - 1)^8) - (n^2 - (n - 1)^2))/252, {n, 26}] (* _Bruno Berselli_, Feb 10 2012 *) %t A088890 LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{0,1,25,234,1290,5115,16211,43700},30] (* _Harvey P. Dale_, Nov 24 2019 *) %Y A088890 Cf. A079547, A083200, A088889, A088891, A088892, A088893, A088894. %K A088890 nonn,easy %O A088890 1,3 %A A088890 Xavier Acloque, Oct 21 2003 %E A088890 First term added according to the formula from _Bruno Berselli_, Feb 10 2012