#来自在线整数序列百科全书的问候!http://oeis.org/搜索:id:a317338显示第1-1页,共1页%一A317338%S A317338 1,1,0,-3,-5,10,58,23,-557,-1421409428316,-52,-449150,-970286,%电话:A317338 590893931046627,-49583353,-750617284,-54441691515819383275,%美国A317338 46795708732,-288245326872,-1808819140124378421593330767664749027614416027504376,-1664155475303224,-393790419095265643893853942734810219165998056699650%N A317338 O.g.f.A(x)满足[x^N]exp(N*x*A(x))*(N+1-N*A(x))=0,N>=1。%比较:阶乘级数F(x)=和{n>=0}n*x^n满足%C A317338(1)[x^n]扩展(x*F(x))*(n+1-F(x))=0,n>=1,%(1*n*0)(适用于[1*0],%C A317338(3)[x^n]exp(n^2*x*F(x))*(n+1-n*F(x))=0,n>=1。%显著的整数序列应该完全由173C组成。%H A317338保罗·D·汉纳,n=0..400时的n,a(n)表%e A317338外径:A(x)=1+x-3*x^3-5*x^4+10*x^5+58*x^6+23*x^7-557*x^8-1421*x^9+4094*x^10+28316*x^11-52*x^12-449150*x^13-970286*x^14+。。。%e A317338定义图示。%e A317338 x^k/k系数表!在exp(n*x*A(x))*(n+1-n*A(x))中开始:%e A317338 n=1:[1,0,1,16,117,-704,-35075,-200304,17660041,…];%e A317338 n=2:[1,0,0,20,288,912,-51200,-888480,19165440,…];%e A317338 n=3:[1,0,-3,0,333,3888,-27135,-1471824,4665465,…];%e A317338 n=4:[1,0,-8,-56,0,5344,33280,-1317312,-15647744,…];%e A317338 n=5:[1,0,-15,-160,-1035,0,81325,-180000,-25008375,…];%e A317338 n=6:[1,0,-24,-324,-3168,-20304,0,1156896,-10209024,…];%e A317338 n=7:[1,0,-35,-560,-6867,-67088,-422975,0,19205305,…];%e A317338 n=8:[1,0,-48,-880,-12672,-155712,-1525760,-9408384,0,…];%e A317338 n=9:[1,0,-63,-1296,-21195,-305856,-3806595,-37346832,-230393079,0,…]。。。%e A317338,其中n行中x^n的系数构成0的对角线。%o A317338(PARI){a(n)=my(a=[1],m);对于(i=1,n,a=concat(a,0);m=#a;a[m]=Vec(exp((m-1)*Ser(a))*(m-(m-1)*Ser(a)))[m]/(m-1));a[n+1]}%o A317338(n=0,30,打印1(a(n),“,”)%Y A317338,参见A317337、A305110、A305114、A305115、A305116。%K A317338标牌%O A317338 0,4%2018年8月1日,A A317338,保罗·D·汉纳#根据OEIS最终用户许可协议提供内容:http://oeis.org/LICENSE