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(来自的问候整数序列在线百科全书!)
A190833号 按照1..n的顺序引入的5个1..n副本的排列数,在距离为1的范围内,没有元素等于另一个。 9
1, 0, 1, 1198, 5609649, 66218360625, 1681287695542855, 81644850343968535401, 6945222145021508480249929, 967335448974819561548523580438, 209141786137614009701487336108267723 (列表;图表;参考;;历史;文本;内部格式)
抵消
0.4
链接
Seiichi Manyama,n=0..100时的n,a(n)表(R.J.Mathar第1..17条)
R.J.Mathar,一类避免对象簇的多项式排列,vixra:1511.0015(2015)
公式
发件人瓦茨拉夫·科特索维奇2018年11月24日:(开始)
经常性:72*(2562500*n^6-28700000*n^5+132339375*n^4-325827750*n^3+454176325*n^2-335170330*n+94842168)*a(n)=3*(1601562500*n^10-21140625000*n^9+123391796875*n^8-423007187500*n^7+944775218750*n^ 6-1434958662500*n ^5+1501190434375*n^4–106673465000*n^3+489426 4300*n^2-138373925520*n+5253272832)*a(n-1)+40*(2946875000*n^9-37425312500*n^8+202210281250*n^7-613007709375*n^6+1158238267500*n^5-1429774838250*n^4+1130386059700*n^3-439029380875*n^2-90639409450*n+1247515567448)*a(n-2)-1440*(166562500*n ^8-1865500000*n ^7+8477778125*n ^6-20572469375*n ^5+30057234250*n ^4-27819019325*n*3+13875953795*n ^2+328927290*n-3329053712)*a(n-3)-5760*8*n+122388456)*a(n-4)+6912*(2562500*n^6-13325000*n^5+27276875*n^4-32220250*n^3+22166825*n^2-3068430*n-5777712)*a(n-5)。
a(n)~5^(4*n+1/2)*n^(4*n)/(24*n*exp(4*n+4))。(结束)
例子
n=3的一些解
..1....1....1....1....1....1....1....1....1....1....1....1....1....1....1....1
..2....2....2....2....2....2....2....2....2....2....2....2....2....2....2....2
..3….1….3….3….3….3….3….3….3….3….3….3….1….1….3….3….3….1….3
..2....2....2....2....1....2....2....2....1....1....2....3....2....2....3....2
..3....3....3....3....2....1....3....1....2....3....3....2....1....1....2....3
..1....2....1....2....3....2....1....3....3....1....1....1....3....2....3....2
..2....3....3....3....1....3....3....2....2....3....2....3....1....1....1....1
..1....1....1....1....3....1....1....3....1....2....3....2....3....3....2....2
..3....2....2....3....2....3....3....2....3....3....2....3....2....2....3....3
..1....3....1....1....3....1....2....3....2....1....3....1....3....1....1....1
..3....1....3....2....2....2....3....1....3....2....1....3....2....3....2....2
..1....3....2....1....3....3....2....3....1....3....3....2....1....2....3....3
..2....2....1....2....1....1....1....1....2....2....1....3....3....3....1....1
..3....1....2....1....2....2....2....2....1....1....3....2....2....1....2....3
..2....3....3....3....1....3....1....1....3....2....2....1....1....3....3....1
交叉参考
关键词
非n
作者
R.H.哈丁2011年5月21日
扩展
a(0)=1前面加Seiichi Manyama先生2018年11月16日
状态
已批准

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