#来自在线整数序列百科全书的问候!搜索:http://oeis.org/; 搜索:id:a174482 展示1-1的1个1 ;%I a174482 2;%S a174482 1,1,2,2,152749425527631438061755060699492076717917906529,;%T a174482 1529292686426584845375811935090207111111111276297111276287929767670628,;%U a174482 4057223684847928282824282824242824242424124242424242424242424242424242424242424242424242424242424242424242424242424242424242424242474482 a(N)=系数x^N/(N-1)!在n>=1的x*exp(x)的第n次迭代中,x*exp(x)的初始n次迭代开始于: %e A174482 n=1:(1)*x+x^2+x^3/2!+x^4/3!+x^5/4!+x^6/5!+… %e A174482 n=2:x+(2)*x^2+6*x^3/2!+23*x^4/3!+104*x^5/4!+537*x^6/5!+… %e A174482 n=3:x+3*x^2+(15)*x^3/2!+102*x^4/3!+861*x^5/4!+8598*x^6/5!+… %e A174482 n=4:x+4*x^2+28*x^3/2!+(274)*x^4/3!+3400*x^5/4!+50734*x^6/5!+… %e A174482 n=5:x+5*x^2+45*x^3/2!+575*x^4/3!+(9425)*x^5/4!+187455*x^6/5!+… %e A174482 n=6:x+6*x^2+66*x^3/2!+1041*x^4/3!+21216*x^5/4!+(527631)*x^6/5!+… %e A174482这个序列从上面的系数开始,并列。 %oA174482(PARI){a(n)=局部(e=x*exp(x+x*o(x^n)),F=x;对于(i=1,n,F=subst(F,x,e));(n-1)!*polcoeff(F,n)} %Y A174482,参见A174480、A174481、A174483、A174484。 %K A174482 nonn %O A174482 1,2 %A A174482 %u Paul D.Hanna ,2010年4月9日 %K A174482 nonn %O