#来自在线整数序列百科全书的问候!http://oeis.org/搜索:id:a293603显示第1-1页,共1页%一A293603%S A293603 4,2,12,6,20,14,62,46108,74244176486364956680168213263300,%电话:A293603 25225884456210328831211868010502831472258325488845676922828,%电话:A293603 7814215658133688284642258342917237645069878624618114029410315381845002168128429496982729844725338440913274858587048744118116421126932418553170%N A293603 G.f.:产品{N=-oo..+oo}(1+x^N*(1+x^N)^N)。%H A293603保罗·D·汉纳,n=0的n,a(n)表。。520%式中:A(Q)x(F)=603 x(F)*%F A293603 P(x)=乘积{n>=0}(1+x^n*(1+x^n)^n),%F A293603 Q(x)=乘积{n>=1}(1+x^(n^2-n)/(1+x^n)^n)。%A(x)=4+2*x+12*x^2+6*x^3+20*x^4+14*x^5+62*x^6+6*x^3+20*x^4+14*x^5+62*x^6+46*x^7+108*x^8+108*x^8+74*x^9+244*x^10+10+176*x^11+486*x^12+364*x^13+956*x^14+680*x^15+1682*x^16+1682*x^16+1326*x^17+3300*x^18+2522*x^19+5884*x^20+4562*x^21+21+486*x+486*x^17+3300*x^18 10328*x^22+8312*x^23+18680*x^24+15028*x^25+31472*x^26+25832*x^27+54888*x^28+45676*x^29+92828*x^30+。。。%e A293603哪里%e A293603 A(x)=P(x)*Q(x),其中%e A293603 P(x)=2*(1+x*(1+x))*(1+x^2*(1+x^2)^2)*(1+x^3*(1+x^3)^3)*(1+x^4*(1+x^4)^4)*(1+x^5*(1+x^5)^5)*…*(1+x^n*(1+x^n)^n)*。。。%e A293603 Q(x)=(1+1/(1+x))*(1+x^2/(1+x^2)^2)*(1+x^6/(1+x^3)^3)*(1+x^12/(1+x^4)^4)*(1+x^20/(1+x^5)^5)*…*(1+x^(n^2-n)/(1+x^n)^n)*。。。%e A293603明确表示,%A293603 P(x)=2+2*x+4*x^2+4*x^2+4*x^3+10*x^4+12*x^5+22*x^6+26*x^7+46*x^8+56*x^8+56*x^9+98*x^10+118*x^11+192*x^12+192*x^12+232*x^13+368*x^14+458*x^15+15+686*x^16+848*x^17+1294*x^18+1604*x^18+1604*x^19+2312*x^20+2888*x^21+4160*x^22+22+x+12*x^18+1604*x^19+2312*x^20+5200*x^23+7322*x^24+9120*x^25+12694*x^26+15890*x^27+21982*x^28+27392*x^29+37304*x^30+。。。%A293603Q(x)=2-x+3*x^2-2*x^3-2*x^3-2*x^4+8*8*x^6-4*x^7-2*x^8-7*x^9+10*x^10-13*x^11+18*x^12-2*x^13*x^13+28*x^14-56*x^15-5*x 15-5*x^16-12*x 17+86*x^18-40*x^19+53*x^20-121*x^21+87*87*x^22-4-96*x^23+105*x^24-40*x^25*x^28*x^14-28*x^14-56*x^15-15-5-15-5-5*x+137*x^26-259*x^27+147*x^28-238*x^29+401*x^30+。。。%t A293603术语=53;乘积[If[n==0,2,(1+x^n*(1+x^n)^n)],{n,-条款,条款}]+O[x]^terms//CoefficientList[#,x]&(*Jean-François Alcover,2017年11月4日*)%o A293603(PARI){a(n)=my(a);a=产品(m=-n-1,n+1,(1+x^m*(1+x^m)^m+x*o(x^n));波尔科夫(a,n)}%o A293603(n=0,60,打印1(a(n),“,”)%Y A293603,参见A293602。%K A293603无%公元603年2931年%A A293603保罗·D·汉纳,2017年10月21日#根据OEIS最终用户许可协议提供内容:http://oeis.org/LICENSE