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A200871号 T(n,k)=0..k数组的数量x(0..n+1)个n+2元素,没有任何内部元素大于或小于两个相邻元素 13

%I#10 2014年3月5日07:43:26

%编号:6,17,10,36,37,16,65,94,77,26106195236163,4216135656702343,

%电话:682325951168167315287231103193221633886491738821523,

%电话:178430138937047973128901445598583209288561199059731493229325

%N T(N,k)=0..k数组的数量x(0..N+1)个N+2元素,没有任何内部元素大于或小于两个相邻元素

%C表启动

%C。。。6....17.....36......65.....106......161......232.......321.......430

%C。。10....37.....94.....195.....356......595......932......1389......1990

%C。。16....77....236.....567....1168.....2163.....3704......5973......9184

%C。。26...163....602....1673....3886.....7973....14932.....26073.....43066

%C。。42...343...1528....4917...12890....29325....60112....113745....201994

%C。。68...723...3882...14455...42744...107777...241718....495495....945790

%C.110.1523…9858…42479…141688…395929…971416…2156867…4424298

%C.178.3209..25038..124851.469726..1454643.3904290…9389377..20696974号

%C.288..6761..63592..366959.1557320..5344795.15693816..40880321..96838448

%编号:466.14245.161514.1078565.5163158.19638715.63085186.177996275.453123270

%H R.H.Hardin,n表,n=1..9999的a(n)</a>

%F柱经验值:

%F k=1:a(n)=a(n-1)+a(n-2)

%Fk=2:a(n)=2*a(n-1)+a(n-4)

%F k=3:a(n)=2*a(n-1)+a(n-2)+2*a

%F k=4:a(n)=3*a(n-1)-a(n-2)+a(n-3)+4*a(n-4)+a

%F k=5:a(n)=3*a(n-1)+a(n-3)+7*a(n-4)+3*a

%F k=6:a(n)=4*a(n-1)-3*a

%F k=7:a(n)=4*a(n-1)-2*a(n-2)+4*a(n-3)+15*a(ns-4)+6*a(nh-5)+12*a(nm-6)+16*a(-n-7)+7*a(n-8)+5*a(nn-9)+4*a(n-10)+a(n-11)

%F行经验值:

%Fn=1:a(k)=(1/3)*k^3+2*k^2+(8/3)*k+1

%F n=2:a(k)=(1/12)*k^4+(3/2)*k ^3+(47/12)*k

%Fn=3:a(k)=(1/60)*k^5+(3/4)*k*4+(15/4)*k^3+(25/4)*k^2+(127/30)*k+1

%F n=4:a(k)=(1/360)*k^6+(7/24)*k*5+(197/72)*k_4+(185/24)*k_3+(1667/180)*k_2+5*k+1

%F n=5:a(k)=(1/2520)*k^7+(17/180)*k*6+(281/180)*k ^5+(64/9)*k′4+(4927/360)*k<3+(2303/180)*k>2+(604/105)*k+1

%F n=6:a(k)=(20160年1月)*k^8+(19/720)*k*7+(211/288)*k|6+(1889/360)*k_5+(44167/2880)*k`4+(15991/720)*k^3+(5689/336)*k_2+(391/60)*k+1

%F n=7:a(k)=(1/181440)*k^9+(131/20160)*k*8+(8893/30240)*k|7+(4621/1440)*k^6+(118933/8640)*k ^5+(83957/2880)*k

%e n=4 k=3的一些解

%e。。3....2....0....0....2....0....1....0....0....2....3....3....1....1....1....3

%e。。2....2....0....2....0....2....2....2....0....3....1....3....2....1....2....3

%e。。2....1....3....3....0....2....2....2....0....3....0....3....2....2....2....3

%e。。2....0....3....3....3....0....1....0....2....3....0....2....2....2....0....2

%电子。。2....0....0....1....3....0....1....0....2....3....0....2....2....2....0....2

%e。。3....2....0....1....1....0....2....3....3....2....2....1....3....2....0....0

%tt[0,k_,x,y]:=1;t[n_,k_,x_,y]:=t[n,k,x,y]=和[如果[z<=x<=y|y<=x=z,t[n-1,k,z,x],0],{z,k+1}];t[n_,k_]:=和[t[n,k,x,y],{x,k+1},{y,k+1}];表格@表格[t[n,k],{n,8},{k,8}](*_Giovanni Resta_,2014年3月5日*)

%Y列1为A006355(n+4)

%Y行1是A084990(n+1)

%K nonn,表

%O 1,1号机组

%A R.H.Hardin(2011年11月23日)

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上次修改时间:美国东部夏令时2024年6月10日03:52。包含373253个序列。(在oeis4上运行。)