Question

1. Calculate the following sum (that is, find an explicit formula with at most two summands): ¿ @)) k=3

Answer 1

El m2 (n+1) c2n+1 +5 minut) 2n+1)- n1+1) 36 & from here we can clearly solve for, Lonal - KE stirling number also. The coefficients are of second hand, in general 20 Theni Citroneron- = 1 nentin co²3n+2 +4 (0-1) +2 - I non+1) cnn lite 4 - In² (nt 12 ton 4

for You can denive it from the formulas the sums of lower powers non lak = ck. k2). Cltro citron K=1 Kol = = 62. 1 Srl K n K K=l ich alo 20 cila i als K² SAT i=1ksi... nn in E K² z K² i=1 K=1 k=10 n sa strane na panti) (ipfe :) = I n2 (n + 1) (ant) at 3 i (i-1) (21-3) Cih = 1 n n +1) (2n+1) = 1 Sici-o c21-B) = 1 n ²(n+1) centi)- 13 cai 2 51² +39) ņ2 MP(n+DC nacn+1) cantit 5 s oil 2 il 3 il