Numerators of the third coefficients in the magic series formulae The denominator is m!^2. Exact values: m=04 +72 m=05 -425 m=06 -11760 m=07 -298900 m=08 -7590912 m=09 -200375910 m=10 -5562585600 m=11 -163144400430 m=12 -5059767398400 Absolute values: 72,425,11760,298900,7590912,200375910,5562585600,163144400430,5059767398400,... Estimates 13...16 from cube series, good, error < 1% Estimates 17...150 from square series, better for higher orders, correct absolute value is a little greater, error < 5% g(002)= 0.000000 g(003)= 0.000000 g(004)=+7.200000*10^1 g(005)=-4.250000*10^2 g(006)=-1.176000*10^4 g(007)=-2.989000*10^5 g(008)=-7.590912*10^6 g(009)=-2.003759*10^8 g(010)=-5.562586*10^9 g(011)=-1.631444*10^11 g(012)=-5.059767*10^12 g(013)=-1.650765*10^14 g(014)=-5.712518*10^15 g(015)=-2.082268*10^17 g(016)=-7.980023*10^18 g(017)=-3.059823*10^20 g(018)=-1.291583*10^22 g(019)=-5.699764*10^23 g(020)=-2.625276*10^25 g(021)=-1.260055*10^27 g(022)=-6.292927*10^28 g(023)=-3.265539*10^30 g(024)=-1.758417*10^32 g(025)=-9.813271*10^33 g(026)=-5.669207*10^35 g(027)=-3.386637*10^37 g(028)=-2.089785*10^39 g(029)=-1.330746*10^41 g(030)=-8.736693*10^42 g(031)=-5.908497*10^44 g(032)=-4.112678*10^46 g(033)=-2.944074*10^48 g(034)=-2.165835*10^50 g(035)=-1.636239*10^52 g(036)=-1.268587*10^54 g(037)=-1.008713*10^56 g(038)=-8.220969*10^57 g(039)=-6.863307*10^59 g(040)=-5.866202*10^61 g(041)=-5.130536*10^63 g(042)=-4.589121*10^65 g(043)=-4.196098*10^67 g(044)=-3.920202*10^69 g(045)=-3.740446*10^71 g(046)=-3.643373*10^73 g(047)=-3.621345*10^75 g(048)=-3.671553*10^77 g(049)=-3.795574*10^79 g(050)=-3.999385*10^81 g(051)=-4.293815*10^83 g(052)=-4.695474*10^85 g(053)=-5.228277*10^87 g(054)=-5.925742*10^89 g(055)=-6.834371*10^91 g(056)=-8.018576*10^93 g(057)=-9.567849*10^95 g(058)=-1.160725*10^98 g(059)=-1.431283*10^100 g(060)=-1.793454*10^102 g(061)=-2.283041*10^104 g(062)=-2.951823*10^106 g(063)=-3.875405*10^108 g(064)=-5.165283*10^110 g(065)=-6.987548*10^112 g(066)=-9.592128*10^114 g(067)=-1.335898*10^117 g(068)=-1.887170*10^119 g(069)=-2.703597*10^121 g(070)=-3.927191*10^123 g(071)=-5.782953*10^125 g(072)=-8.631082*10^127 g(073)=-1.305424*10^130 g(074)=-2.000475*10^132 g(075)=-3.105534*10^134 g(076)=-4.883036*10^136 g(077)=-7.775421*10^138 g(078)=-1.253633*10^141 g(079)=-2.046268*10^143 g(080)=-3.380930*10^145 g(081)=-5.653633*10^147 g(082)=-9.566988*10^149 g(083)=-1.638018*10^152 g(084)=-2.837260*10^154 g(085)=-4.971173*10^156 g(086)=-8.809307*10^158 g(087)=-1.578674*10^161 g(088)=-2.860603*10^163 g(089)=-5.240639*10^165 g(090)=-9.705567*10^167 g(091)=-1.816842*10^170 g(092)=-3.437350*10^172 g(093)=-6.571921*10^174 g(094)=-1.269625*10^177 g(095)=-2.478147*10^179 g(096)=-4.886541*10^181 g(097)=-9.733173*10^183 g(098)=-1.958133*10^186 g(099)=-3.978523*10^188 g(100)=-8.163036*10^190 g(101)=-1.691183*10^193 g(102)=-3.537514*10^195 g(103)=-7.470246*10^197 g(104)=-1.592436*10^200 g(105)=-3.426425*10^202 g(106)=-7.441070*10^204 g(107)=-1.630826*10^207 g(108)=-3.606799*10^209 g(109)=-8.049018*10^211 g(110)=-1.812324*10^214 g(111)=-4.116863*10^216 g(112)=-9.434115*10^218 g(113)=-2.180756*10^221 g(114)=-5.084543*10^223 g(115)=-1.195649*10^226 g(116)=-2.835508*10^228 g(117)=-6.781142*10^230 g(118)=-1.635270*10^233 g(119)=-3.976130*10^235 g(120)=-9.747364*10^237 g(121)=-2.409020*10^240 g(122)=-6.001941*10^242 g(123)=-1.507347*10^245 g(124)=-3.815731*10^247 g(125)=-9.735492*10^249 g(126)=-2.503382*10^252 g(127)=-6.487231*10^254 g(128)=-1.694060*10^257 g(129)=-4.457689*10^259 g(130)=-1.181891*10^262 g(131)=-3.157236*10^264 g(132)=-8.497172*10^266 g(133)=-2.303857*10^269 g(134)=-6.292553*10^271 g(135)=-1.731271*10^274 g(136)=-4.797859*10^276 g(137)=-1.339218*10^279 g(138)=-3.764907*10^281 g(139)=-1.065944*10^284 g(140)=-3.039279*10^286 g(141)=-8.726514*10^288 g(142)=-2.523041*10^291 g(143)=-7.345147*10^293 g(144)=-2.153023*10^296 g(145)=-6.354023*10^298 g(146)=-1.887908*10^301 g(147)=-5.647098*10^303 g(148)=-1.700445*10^306 g(149)=-5.154351*10^308 g(150)=-1.572679*10^311