登录
OEIS由OEIS基金会的许多慷慨捐赠者.

 

标志
提示
(来自的问候整数序列在线百科全书!)
A221542型 T(n,k)=长度为n的0..k数组的数量,每个元素与至少一个相邻元素之间的差异不是1,从0开始。 10
0, 0, 1, 0, 2, 1, 0, 3, 4, 2, 0, 4, 8, 10, 3, 0, 5, 14, 30, 22, 5, 0, 6, 22, 68, 103, 54, 8, 0, 7, 32, 130, 303, 364, 134, 13, 0, 8, 44, 222, 716, 1386, 1276, 334, 21, 0, 9, 58, 350, 1455, 4018, 6311, 4483, 822, 34, 0, 10, 74, 520, 2658, 9665, 22466, 28762, 15740, 2014, 55, 0, 11 (列表;桌子;图表;参考文献;;历史;文本;内部格式)
抵消
1,5
评论
表格开始
..0.....0......0........0.........0.........0..........0...........0
..1.....2......3........4.........5.........6..........7...........8
..1.....4......8.......14........22........32.........44..........58
..2....10.....30.......68.......130.......222........350.........520
..3....22....103......303.......716......1455.......2658........4487
..5....54....364.....1386......4018......9665......20386.......39007
..8...134...1276.....6311.....22466.....64047.....156098......338711
.13...334...4483....28762....125701....424593....1195561.....2941622
.21...822..15740...131012....703193...2814515....9156379....25546512
2014年4月34日…55274…596784…3933916…18656979…70126074…221859676
.55..4934.194095..2718469..22007609.123673887..537074685..1926747595
.89.12110.681576.12383368.123117952.819813575.4113296146.16732904887
链接
配方奶粉
k列的经验值:
k=1:a(n)=a(n-1)+a(n-2)
k=2:a(n)=3*a(n-1)-2-a(n-2)+4*a(n-4)
k=3:a(n)=3*a(n-1)+2*a(n-2)-a(n-3)+a(n-4)
k=4:a(n)=5*a(n-1)-3*a(n-2)+a(n-3)+15*a
k=5:a(n)=5*a(n-1)+3*a
k=6:a(n)=7*a(n-1)-4*a(n-2)+6*a(n-3)+26*a(n-4)+10*a(n-5)+16*a(n-6)+12*a(n-8)
k=7:a(n)=7*a(n-1)+4*a(n-2)+5*a(n-3)+20*a
第n行的经验值:
n=2:a(n)=1*n,对于n>1
n=3:a(n)=1*n^2-1*n+2对于n>1
n=4:a(n)=1*n^3+1*n
n=5:a(n)=1*n^4+1*n^3-3*n^2+10*n-9对于n>3
n=6:a(n)=1*n^5+2*n^4-6*n^3+21*n^2-31*n+23,对于n>4
n=7:a(n)=1*n^6+3*n^5-8*n^4+25*n^3-30*n^2+20*n-9对于n>3
例子
n=6 k=4的一些解
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..4…..2…..2…..3…..2…..0…..4…..0…..4…..4…..3…..4…..0…..4…..4
..0....4....4....4....0....2....3....2....3....0....0....4....2....1....4....4
..0....0....0....4....4....4....1....3....1....4....2....2....0....1....2....0
..3....2....4....4....4....0....0....3....1....1....4....4....4....2....0....0
..0....2....1....2....0....2....2....3....3....1....4....2....0....0....0....3
交叉参考
第1列是A000045号(n-1)。
第2行是A000027号.
第3行是A003682号.
第4行是A034262号.
关键字
非n,表格
作者
R.H.哈丁2013年1月19日
状态
经核准的

查找|欢迎光临|维基|注册|音乐|地块2|演示|索引|浏览|更多|网络摄像头
贡献新序列。或评论|格式|样式表|变换|超级搜索|最近
OEIS社区|维护人OEIS基金会。

许可协议、使用条款、隐私政策。.

上次修改时间:2024年4月23日23:26 EDT。包含371917个序列。(在oeis4上运行。)