222 



R. FUJISAWA. 



(2w + 2)(2m+3M2,„+2.o+ in2-4(w+ 1)2^2^.0 = 



^2,«,o-( i) (2w+l)! 



(2m + 2)(2;;i + 8M2^+2,2 + {5«2_4(?;z+l)2}^2^,2 



+ I (4wi + 1 )?r - 40;i + 1)- } ^ 2«, o 



+ («2-'2?7i-2)(?t^-2?;i-l).42„,_2,o = , 



(2w + 2)C2w + 8)^o„,+2,, + |9?i2-4(w+ 1)'M2^.4 



+ {ti" -2m- 2)(7t' - 2vi - 1) A 2,„_.2, 2 = 0, 



(2m+2)(2m+3)^2,»+2,6 + { VSn'-^m + lf]A,,,, , 

 + {(4w-7>i2-4(w+l)^}^2,.,4 



+ Cm2_2w-2)(»--2w-1M2«.-2,4 = 0' 



generally, 



(168) C2m + 2)(2;?i + 8M2„,+2, 2. + { (4>' + 1)'^' - Um +\f\A .,,„, ,, 



-f {(4w-4/-+5)n2-4(w+ l)'i.42„,o,_2 



+ (;r-2w-2)(«2-2wi-lM2,„-2,2r-2 = 0, 

 and, lastly, 



Clin + 2){2m + 8)^ 2^+2, m+i + '^ i ^^^ + 8)yr - 4(;/i + 1)- [ A o„,, ,„_i 



+ {n- — 2m — 2)(h- — 2m — 1 )^ 2»i-2, m-\ = , 



or 



C2m + 2X27/t + 8M 2,H+2, ™ + I C-^''^ + 1)'^' - -l^"^ + 1 )' i ^ -',«, m 

 + I (2/;t + 5);r - 4(;;i + If } ^ .2»,. «.-2 



+ ('/i'^ — 2wi — 2)(n- — 2?;i- l)zi2,„_2,m-2 = , 



according as m is odd or even. 



