A145107 - OEIS

%I #13 May 23 2021 06:24:27

%S 1,7,220,2606,24229,169840,951944,4391259,17128360,57582491,169556652,

%T 442817680,1036416952,2192191607,4219669696,7433573145,12041305271,

%U 18003453305,24921751416,32017113319,38243274851,42524815013,44052440432,42524815013,38243274851,32017113319,24921751416,18003453305,12041305271,7433573145,4219669696,2192191607,1036416952,442817680,169556652,57582491,17128360,4391259,951944,169840,24229,2606,220,7,1

%N Expansion of polynomial N_5 in Formula (10) in the reference.

%H Adriano Garsia, Gregg Musiker, Nolan Wallach, Guoce Xin, <a href="http://arxiv.org/abs/0810.0060">Invariants, Kronecker Products and Combinatorics of Some Remarkable Diophantine Systems (Extended Version)</a>, arXiv:0810.0060 [math.CO]

%e N_5 = q^44 + 7q^43 + 220q^42 + 2606q^41 + 24229q^40 + 169840^q39 + 951944q^38 + 4391259q^37 + 17128360q^36 + 57582491q^35 + 169556652q^34 + 442817680q^33 + 1036416952q^32 + 2192191607q^31 + 4219669696q^30 + 7433573145q^29 + 12041305271q^28 + 18003453305q^27 + 24921751416q^26 + 32017113319q^25 + 38243274851q^24 + 42524815013q^23 + 44052440432q^22 + 42524815013q^21 + 38243274851q^20 + 32017113319q^19 + 24921751416q^18 + 18003453305q^17 + 12041305271q^16 + 7433573145q^15 + 4219669696q^14 + 2192191607q^13 + 1036416952q^12 + 442817680q^11 + 169556652q^10 + 57582491q^9 + 17128360q^8 + 4391259q^7 + 951944q^6 + 169840q^5 + 24229q^4 + 2606q^3 + 220q^2 + 7q + 1.

%K fini,full,easy,less,nonn

%O 0,2

%A _Jonathan Vos Post_, Oct 02 2008

%E Replaced link to cached arXiv URL by link to the abstract - _R. J. Mathar_, Mar 01 2010

%E Edited by and better name from _Joerg Arndt_, May 23 2021