通用公式:A(x)=1+x+2*x^2+19*x^3+648*x^4+35034*x^5+2670208*x^6+272185631*x^7+35771059816*x^8+5898174461866*x^9+。。。
当n>1时,[x^n]A(x)^(n*(n+1))/(x*A(x。
定义说明。
A(x)^(n*(n+1))/(x*A(x
n=0:[1,-2,-2,-60,-2956,-197300,-17847672,-2102383528,…];
n=1:[1,-2,-2,-88,-4634,-323628,-30231156,-36453392,…];
n=2:[1,0,0,-86,-5211,-389844,-37975704,-47086848080,…];
n=3:[1,4,16,0,-4318,-390512,-40986336,-530129056,…];
n=4:[1,10,70,400,0,-294292,-38253360,-5373817820,…];
n=5:[1,18,198,1760,15084,0,-26932912,-4775237568,…];
n=6:[1,28,448,5502,63581,818104,0,-3197458336,…];
n=7:[1、40、880、14304、204524、3166480、61757056、0…];
n=8:[1,54,1566,32700,572292,9885564,214256808,6302260080,0,…]。。。
其中,主对角线由初始项后的所有零组成,说明当n>1时,[x^n]A(x)^(n*(n+1))/(x*A(x。
相关系列。
对数(A(x))=x+3*x^2/2+52*x^3/3+2515*x^4/4+171846*x^5/5+15806406*x*^6/6+1886292528*x^7/7+283963660371*x^8/8+5275860655410*x^9/9+。。。
|