Reinhard Zumkeller,2009年6月17日reinhard.zumkeller@gmail.com除数的枚举========================EDP(n,x):=n的除数的插值多项式。{EDP(n,k):0<=k1(*n*的最大正约数)EDP(n,A000005(n)-1)=nEDP(n,A000005(n))=A161700(n)EDP(A000040(n),x)=A006093(n)*x+1---+--------------------------------------------------------------------+-------------n|EDP(n,x)|---+--------------------------------------------------------------------+-------------1|1|A000012(x)2|x+1 |A000027(x+1)3|2*x+1|A005408(x)4|(x^2+x+2)/2|A000124(x)5|4*x+1|A016813(x)6|(x^3-3*x^2+5*x+3)/3|A086514(x+1)7 | 6*x+1 | A016921(x)8|(x^3+5*x+6)/6|A000125(x)9|2*x^2+1|A058331(x)10|x^2+1|A002522(x)11|10*x+1|A017281(x)12|(x^5-5*x^4+5*x^3+5*x*2+114*x+120)/120|A161701(x)13|12*x+1|A017533(x)14|(-x^3+9*x^2-5*x+3)/3|A161702(x)15|(4*x^3-12*x^2+14*x+3)/3|A161703(x)16|(x^4-2*x^3+11*x^2+14*x+24)/24|A000127(x+1)17 | 16*x+1 | A158057(x)18|(3*x^5-35*x^4+145*x^3-235*x^2+152*x+30)/30|A161704(x)19 | 18*x+1 | A161705(x)20|(-11*x^5+145*x^4-635*x^3+1115*x^2-494*x+120)/120|A161706(x)21|(4*x^3-9*x^2+11*x+3)/3|A161707(x)22|-x^3+7*x^2-5*x+1|A161708(x)23 | 22*x+1 | A161709(x)24|(-6*x^7+154*x^6-1533*x^5+7525*x^4| A161710(x)|-18879*x^3+22561*x^2-7302*x+2520)/2520|25|8*x^2-4*x+1|A080856(x)26|(-4*x^3+27*x^2-20*x+3)/3|A161711(x)27|(4*x^3-6*x^2+8*x+3)/3|A161712(x)28|(-x^5+15*x^4-65*x^3+125*x^2-34*x+40)/40|A161713(x)29 | 28*x+1 | A161714(x)30|(50*x^7-1197*x^6+11333*x^5-53655*x^4|A161715(x)|+132125*x ^3-156828*x ^2+73212*x+5040)/5040 |31 | 30*x+1 | A128470(x+1)32|(x^5-5*x^4+25*x*3+5*x^2+94*x+120)/120|A006261(x)---+--------------------------------------------------------------------+-------------