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A088894 Polynexus numbers of order 16.

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%I A088894 #24 Aug 19 2025 05:20:01
%S A088894 0,1,656,64895,2263323,40728358,464160877,3788798018,23985732786,
%T A088894 124343403711,548683300726,2120490369833,7334132330405,23085114905772,
%U A088894 67009386720139,181293280189204,461148470725844,1110780513139917,2548868780082828,5600100525524707
%N A088894 Polynexus numbers of order 16.
%H A088894 Bruno Berselli, <a href="/A088894/b088894.txt">Table of n, a(n) for n = 1..1000</a>
%H A088894 X. Acloque, <a href="http://www.fortunecity.fr/polynexus/index.html">Polynexus Numbers and other mathematical wonders</a> [broken link]
%H A088894 <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (16,-120,560,-1820,4368,-8008,11440,-12870,11440,-8008,4368,-1820,560,-120,16,-1).
%F A088894 a(n) = ((n^16-(n-1)^16)-(n^4-(n-1)^4))/65520 = ((n^16-(n-1)^16)-(n^4-(n-1)^4))/(2^16-2^4).
%F A088894 G.f.: x^2*(1+x)*(1+639*x+53880*x^2+1249283*x^3+10687767*x^4+38266494*x^5+59151072*x^6+38266494*x^7+10687767*x^8+1249283*x^9+53880*x^10+639*x^11+x^12)/(1-x)^16. - _Bruno Berselli_, Feb 08 2012
%t A088894 Table[((n^16 - (n - 1)^16) - (n^4 - (n - 1)^4))/65520, {n, 20}] (* _Bruno Berselli_, Feb 08 2012 *)
%Y A088894 Cf. A079547, A083200, A088889, A088890, A088891, A088892, A088893.
%K A088894 nonn,easy
%O A088894 1,3
%A A088894 Xavier Acloque, Oct 21 2003
%E A088894 First term added according to the formula from _Bruno Berselli_, Feb 08 2012