来自在线整数百科全书的问候语!http://oeis.org/ Search: id:a000597 Showing 1-1 of 1 %I A000597 M5255 N2287 %S A000597 36,820,7645,44473,191620,669188,1999370,5293970,12728936,28285400, %T A000597 58856655,115842675,217378200,391367064,679524340,1142659012, %U A000597 1867463260,2975110060,4631998657,7063027565,10567817084,15540347900,22492529150,32082258390,45146587200 %N A000597 Central factorial numbers. %D A000597 J. Riordan, Combinatorial Identities, Wiley, 1968, p. 217. %D A000597 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). %D A000597 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). %H A000597 Vincenzo Librandi,n,a(n)n=4…1000的表%H A000 0597 Mircea Merca,广义吉拉德-沃林公式的一个特例J.整数序列,第15卷(2012),第12条5.7与阶乘数相关的序列的索引条目%H A000 0597常系数线性递归的索引项εf A000 0597 E.G.F.:X^ 4 *(x^ 5+75×x ^ 4+603×x ^ 3+1065×x ^ ^+x×^+)/(1×x)^ .% f f A000 0597 A(n)=S(n,n-3)^ 2-2*s(n,n-4)*s(n,n-2)+α*s(n,n-5)*s(n,n-1)+y*s(n,n-6),其中s(n,k)是第一类的斯特灵数,a04944。,签名(10,- 45120,- 210252,-210120,-45)。-miReCa MelaCa,APR 03 2012πF A000 0597复发:(N-4)*(2×N-7)*(35×N ^ 2 -49×N+18)* A(n)=n^ 2 *(2×n-1)*(35×n^ 2+21×n+4)* a(n-1)。2月23日,2015 v%Av0597为n>=4,A(n)=(2×n-5)*(2×n-3)*(2×n-1)*(35*n^ 2+21×n+4)*n!45360。- _Vaclav Kotesovec_, Feb 23 2015 %p A000597 1/(-1+z)^10*(z^5+75*z^4+603*z^3+1065*z^2+460*z+36); %p A000597 seq(stirling1(n,n-3)^2-2*stirling1(n,n-4)*stirling1(n,n-2)+2*stirling1(n,n-5)*stirling1(n,n-1)+2*stirling1(n,n-6),n=0..30); # _Mircea Merca_, Apr 03 2012 %t A000597 CoefficientList[Series[(x^5 + 75*x^4 + 603*x^3 + 1065*x^2 + 460*x + 36)/(1-x)^10, {x, 0, 20}], x] * Range[0, 20]! (*O-VasLavkToSeVoCeCo,2月23日2015 *)%%A000 0597表[(2×n-5)*(2×n-3)*(2×n-1)*(35×n ^ 2 +21×n+4)*n!线性递归[ { 10,- 45, 120,- 210, 252,-210, 120,-45, 10,-1 },{36, 820, 7645,44473, 191620, 669188,1999370, 5293970, 12728936,28285400 },40)(*-VunZZO-LBANRODIIAY,AUG×××)%AY00597列,三角形AA8989.0%K A000 0597,NN 0%O A000 0597 4,1 %,AO0597 97 N.J.A.SLaNeNexII的内容在OEIS最终用户许可协议下可用:HTTP:/OEIS.Org/许可证/ 45360,{n,4/20}(*-Vasavk-KoTeoVeCe],2月23日2015*)%%A000 0597