The first one hundred terms of A269228

For NiMvSSJuRzYiIiIi, NiMiIiM=,..., NiMiJCsi, the NiNJIm5HNiI=th term of the sequence A269228 is the coefficient of NiMpSSJ4RzYiSSJuR0Yl in this polynomial:

one_hundred_terms := x+2*x^2+7*x^3+28*x^4+122*x^5+556*x^6+2618*x^7+12634*x^8+62128*x^9+310212*x^10+1568495*x^11+8014742*x^12+41323641*x^13+214719610*x^14+1123244757*x^15+5910863420*x^16+31268459118*x^17+166185855552*x^18+886961294034*x^19+4751819567488*x^20+25545030878475*x^21+137756210983218*x^22+745003421378887*x^23+4039670554117446*x^24+21957581725458521*x^25+119617411355063716*x^26+652987362244277768*x^27+3571513240383203840*x^28+19569509989628913679*x^29+107407976320682462188*x^30+590439777204628451655*x^31+3250536598367850780900*x^32+17919940344461640272988*x^33+98920229306071593461734*x^34+546724702662480017541327*x^35+3025226652902003909306296*x^36+16758137285974465111179556*x^37+92928141733634499421911492*x^38+515821475054396474295138454*x^39+2865899301810167662700435362*x^40+15937199294623568734112844728*x^41+88702176451371282452646927136*x^42+494095206390881231766446705163*x^43+2754388194043295999496612767760*x^44+15366073436290382984602113200000*x^45+85784727682910196682374113105784*x^46+479240282428691519740999668020619*x^47+2679049130293704784449208258641664*x^48+14985821885752193999469459980333126*x^49+83876860502779730659492719927904456*x^50+469737568263882151391893950100686786*x^51+2632148286829883323859840138168815820*x^52+14757006795689910288213402522677974817*x^53+82777157426896207417482066954697832172*x^54+464556936148377148099464824886703062448*x^55+2608410445872914578358722146604862836622*x^56+14652582937172978282639503432138338390141*x^57+82346819177341321451177753349312692598358*x^58+462985410470881150738974275562276249951913*x^59+2604170416532779269470167095901890998953936*x^60+14653696682906037899461361920723938258331554*x^61+82488814993349933108160793507864961216989872*x^62+464523443236400337238059192467628860923146339*x^63+2616855837914267236808005011068445088054032954*x^64+14747101480566119891370719590491386196185908569*x^65+83134940176529481710030373333569472310829825290*x^66+468819972254161207073887792282576428611136605297*x^67+2644660691035465287424610976261182945805042736644*x^68+14923513443788511698947606563388208738884452954774*x^69+84237519158983227398232010362694576581865884481854*x^70+475630488040408381825091967673251394207283980596659*x^71+2686333025443971039144586928741190193381030719748528*x^72+15176535131093122878109328264581821039144542707439231*x^73+85763941090223575403441086446007568149809834127991060*x^74+484789250072152571945692085791529845368759371747026969*x^75+2741033506011153274338414898884403895804395529243962160*x^76+15501934473107021819119927183906607415166826146204549514*x^77+87692979739651760081076384872628756166501257812607151788*x^78+496190483969713975925985217318897706467265679555854813663*x^79+2808239243057903404522533095263155043701685422171516575828*x^80+15897152419845200841075016742349500103147161077872972882568*x^81+90012270580494590365869788555452011654254320080787300268916*x^82+509775442948052967884003196357243739117039952317960299310820*x^83+2887677388898882590217099867647634125294678308203534484967650*x^84+16360961918321213870504253257413314289195038573679448357548230*x^85+92716558421647570035463042376673972358017470041151465397951130*x^86+525523398759863075243041643700248588484071711125108663498266906*x^87+2979278803408111000855616520118190906612881936522096196491562488*x^88+16893229540471058447720765670921794722858205477848800349959646743*x^89+95806470852162908397878404541079963563844126795188170843213005110*x^90+543445329955850838454946855596497771220765500317685400665928252725*x^91+3083145576227941963036990912990118203781654134374408518926072069004*x^92+17494748397211862538721824649199002695327323808240497123716129869028*x^93+99287658942911591705156182329202582610216804016382555661921157884508*x^94+563579504895818995605851863331540527332030914921613593974711714450484*x^95+3199528338243782782813180697522827311587296455449415779343335519148620*x^96+18167121700836537913051730116491702103506588659505723343680806738528174*x^97+103170200369707877306175731670164306954792115176009940412911940414728778*x^98+585988426379729690712443352496320959263622756665182098768692038144579335*x^99+3328810648269561900571441609562172020043927280201462630975546203129724780*x^100;

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