#来自在线整数序列百科全书的问候!http://oeis.org/搜索:id:a293597显示第1-1页,共1页%一A293597%S A293597 0,1,-4,8,-11,1,14,1,-50,58,1,1,-54,1,-28311,-340,1,75,1,-81345,-44,%电话:A293597 1,-14271531,-52496,-1253,11343,1,-2924738,-689444,-10073,1,-76,%U A293597 10283691,1,-4691,1,-694121295,-92,1,-555803303428181801752,-11479,1,-5406342847194372186,-116,1,-77934,1,-124238507,-16903285151,-188859,1,-257553198432636,1,-513328,1,-148157041,-36005711327,-465347,1%N A293597 L.g.f.:和{N>=1}(x-x^(2*N-1))^(2*N-1)/(2*N-1)。%H A293597保罗·D·汉纳,n=1的n,a(n)表。。2050%e A293597 L.g.f.:A(x)=x^3/3-4*x^5/5/5+8*x^7/7-11*x^9/9+x^11/11+11+14*x^13/13+x^15/15-50*x^17/17+58*x^19/19+x^21/21+x^23/23-54*x^25/25/25+x 27/27-28*x^29/29+31*31*31/31*340*x^33/33/33+x^35/35/35+75*x^37/37 x^39/19/19+x^21/21+21+x^23/23/23-54*x^25/25/25/25+x^27+x^28*x 39-81*x ^41/41+345*x ^43/43-44*x ^45/45+x ^47/47-1427*x ^49/49+1531*x ^51/51-52*x ^53/53+496*x ^55/55-1253*x^57/57+x^59/59+1343*x^61/61+x^63/63-2924*x^65/65+。。。%e A293597,可以写成%e A293597 A(x)=(x-x)+(x-x ^3)^3/3+(x-x ^5)^5/5+(x-x ^7)^7/7+(x-x ^9)^9/9+(x-x ^11)^11/11+(x-x ^13)^13/13+(x-x ^15)^15/15+(x-x ^17)^17/17+(x-x ^19)^19/19+(x-x ^21)^21/21+…+(x-x^(2*n-1))^(2*n-1)/(2*n-1)+。。。%e A293597 A(x)中n>=1时x(2^n+1)/(2^n+1)的系数开始:%e A293597[1,-4,-11,-50,-340,-2924,-169032,-33445208,-21619038032,1-A293599(n),…]。%o A293597(PARI){a(n)=我的(a,Ox=o(x^(2*n+1)));%o A293597 A=总和(m=1,n+1,(x-x^(2*m-1)+x)^(2*m-1)/(2*m-1));%o A293597(2*n-1)*polcoeff(A,2*n-1)}%o A293597(n=1,80,打印1(a(n),“,”)%Y A293597,参见A293129、A293598、A293599。%K A293597标志%O A293597 1,3%A A293597保罗·D·汉纳,2017年10月12日#根据OEIS最终用户许可协议提供内容:http://oeis.org/LICENSE