[seqfan]Re:Fwd:n-A0002828(n)的迭代?

L.埃德森·杰弗里 gmail.com上的lejeffery2
2013年8月19日星期一21:02:17 CEST


AK>。。。轨迹会到达每个平方-1(A005563)<之前的k吗达到零?对于任意n,是否足以证明最大值(平方-1<n)在弹道?AK>这意味着只有一个无限序列a_n这样,a(n-1)=a(n)-加起来等于a(n)的最小平方数。这应该是下面第一个三角形中的第一列。AK>那么,在计算从A005563(n+1)跳到A005562(n)所需的迭代次数?根据下面的第二个三角形,你的跳跃序列应该是{1,1,2,2,4,4,5,5,…},除非我误解或计算错误。不确定你所说的“规律性”到底是什么意思好主意,安蒂。n 0≤n≤48的轨迹序列---   -----------------------------------------0     01     02     03     04     3,05 3,0个6 3,0个7     3,08     6,3,09     8,6,3,010     8,6,3,011     8,6,3,012     9,8,6,3,013 11、8、6、3、014     11,8,6,3,015     11,8,6,3,016     15,11,8,6,3,017     15,11,8,6,3,018     16,15,11,8,6,3,019     16,15,11,8,6,3,020     18,16,15,11,8,6,3,021     18,16,15,11,8,6,3,022     19,16,15,11,8,6,3,023     19,16,15,11,8,6,3,024     21,18,16,15,11,8,6,3,025     24,21,18,16,15,11,8,6,3,026     24,21,18,16,15,11,8,6,3,027     24,21,18,16,15,11,8,6,3,028     24,21,18,16,15,11,8,6,3,029     27,24,21,18,16,15,11,8,6,3,030     27,24,21,18,16,15,11,8,6,3,031     27,24,21,18,16,15,11,8,6,3,032     30,27,24,21,18,16,15,11,8,6,3,033     30,27,24,21,18,16,15,11,8,6,3,034     32,30,27,24,21,18,16,15,11,8,6,3,035     32,30,27,24,21,18,16,15,11,8,6,3,036     35,32,30,27,24,21,18,16,15,11,8,6,3,037     35,32,30,27,24,21,18,16,15,11,8,6,3,038     35,32,30,27,24,21,18,16,15,11,8,6,3,039     35,32,30,27,24,21,18,16,15,11,8,6,3,040     38,35,32,30,27,24,21,18,16,15,11,8,6,3,041     38,35,32,30,27,24,21,18,16,15,11,8,6,3,042     39,35,32,30,27,24,21,18,16,15,11,8,6,3,043 40,38,35,32,30,27,21,18,16,15,11,8,6,3,044 41,38,35,32,30,27,21,18,16,15,11,8,6,3,045     43,40,38,35,32,30,27,24,21,18,16,15,11,8,6,3,046     43,40,38,35,32,30,27,24,21,18,16,15,11,8,6,3,047     43,40,38,35,32,30,27,24,21,18,16,15,11,8,6,3,048     45,43,40,38,35,32,30,27,24,21,18,16,15,11,8,6,3,0n n^2-1 n^2-1,1<=n<=7的轨迹--- -------  -----------------------------------------1 0 02     3      03     8      6,3,04    15      11,8,6,3,05    24      21,18,16,15,11,8,6,3,06    35      32,30,27,24,21,18,16,15,11,8,6,3,07    48      45,43,40,38,35,32,30,27,24,21,18,16,15,11,8,6,3,0埃德·杰弗里


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