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Search: id:A113378
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| A113378 |
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Triangle, read by rows, equal to the matrix cube of A113370. |
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+0
9
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| 1, 3, 1, 15, 12, 1, 136, 168, 21, 1, 1998, 3190, 483, 30, 1, 41973, 80136, 13615, 960, 39, 1, 1166263, 2553162, 469476, 35785, 1599, 48, 1, 40747561, 99579994, 19419225, 1562220, 74074, 2400, 57, 1, 1726907675, 4624245724, 944233801, 79072620
(list; table; graph; listen)
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OFFSET
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0,2
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FORMULA
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Column k of A113370^3 = column 0 of A113389^(3*k+1) for k>=0.
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EXAMPLE
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Triangle A113370^3 begins:
1;
3,1;
15,12,1;
136,168,21,1;
1998,3190,483,30,1;
41973,80136,13615,960,39,1;
1166263,2553162,469476,35785,1599,48,1;
40747561,99579994,19419225,1562220,74074,2400,57,1;
1726907675,4624245724,944233801,79072620,3908034,132856,3363,66,1;
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PROGRAM
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(PARI) {T(n, k)=local(A, B); A=Mat(1); for(m=2, n+1, B=matrix(m, m); for(i=1, m, for(j=1, i, if(i<3|j==i|j>m-1, B[i, j]=1, if(j==1, B[i, 1]=1, B[i, j]=(A^(3*j-2))[i-j+1, 1])); )); A=B); (A^3)[n+1, k+1]}
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CROSSREFS
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Cf. A113370, A113389, A113379 (column 0), A113380 (column 1).
Sequence in context: A130757 A014621 A144006 this_sequence A156289 A095922 A089278
Adjacent sequences: A113375 A113376 A113377 this_sequence A113379 A113380 A113381
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KEYWORD
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nonn,tabl
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Nov 14 2005
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