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A088893 Polynexus numbers of order 15.

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%I A088893 #21 Aug 19 2025 05:20:26
%S A088893 0,1,437,32338,898774,13420861,130567049,929084572,5210829060,
%T A088893 24240197433,96985597357,342789175982,1092151142842,3186269918917,
%U A088893 8618003504977,21826239750488,52182586901800,118565859736497,257462955231909,536839834252906,1079191653936254
%N A088893 Polynexus numbers of order 15.
%H A088893 Bruno Berselli, <a href="/A088893/b088893.txt">Table of n, a(n) for n = 1..1000</a>
%H A088893 X. Acloque, <a href="http://www.fortunecity.fr/polynexus/index.html">Polynexus Numbers and other mathematical wonders</a> [broken link]
%H A088893 <a href="/index/Rec#order_15">Index entries for linear recurrences with constant coefficients</a>, signature (15,-105,455,-1365,3003,-5005,6435,-6435,5005,-3003,1365,-455,105,-15,1).
%F A088893 a(n) = ((n^15-(n-1)^15)-(n^3-(n-1)^3))/32760 = ((n^15-(n-1)^15)-(n^3-(n-1)^3))/(2^15-2^3).
%F A088893 G.f.: x^2*(1+422*x+25888*x^2+459134*x^3+3137271*x^4+9505116*x^5+13661136*x^6+9505116*x^7+3137271*x^8+459134*x^9+25888*x^10+422*x^11+x^12)/(1-x)^15. - _Bruno Berselli_, Feb 08 2012
%t A088893 Table[((n^15 - (n - 1)^15) - (n^3 - (n - 1)^3))/32760, {n, 20}] (* _Bruno Berselli_, Feb 08 2012 *)
%Y A088893 Cf. A079547, A083200, A088889, A088890, A088891, A088892, A088894.
%K A088893 nonn,easy
%O A088893 1,3
%A A088893 Xavier Acloque, Oct 21 2003
%E A088893 First term added according to the formula from _Bruno Berselli_, Feb 08 2012