0,2

From formula (10) on p.4 of Garsia, Musiker, Wallach and Xin. This work lies across three areas (in the title) of investigation that are by themselves of independent interest. A problem that arose in quantum computing led us to a link that tied these areas together. This link consists of a single formal power series with a multifaced interpretation. The deeper exploration of this link yielded results as well as methods for solving some numerical problems in each of these separate areas.

Adriano Garsia, Gregg Musiker, Nolan Wallach, Guoce Xin, Invariants, Kronecker Products and Combinatorics of Some Remarkable Diophantine Systems (Extended Version) Oct 01, 2008.

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.

Sequence in context: A045760 A046033 A114939 this_sequence A140018 A009488 A138247

Adjacent sequences: A145104 A145105 A145106 this_sequence A145108 A145109 A145110

fini,nonn,uned

Jonathan Vos Post (jvospost3(AT)gmail.com), Oct 02 2008