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Search: id:A136235
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| 1, 6, 1, 48, 12, 1, 495, 150, 18, 1, 6338, 2160, 306, 24, 1, 97681, 36103, 5643, 516, 30, 1, 1767845, 694079, 115917, 11592, 780, 36, 1, 36839663, 15164785, 2657946, 282122, 20655, 1098, 42, 1, 870101407, 372225541, 67708113, 7502470, 580780
(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 W^2 (this triangle) = column 1 of W^(k+1), where W = P^3 and P = triangle A136220.
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EXAMPLE
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This triangle, W^2, begins:
1;
6, 1;
48, 12, 1;
495, 150, 18, 1;
6338, 2160, 306, 24, 1;
97681, 36103, 5643, 516, 30, 1;
1767845, 694079, 115917, 11592, 780, 36, 1;
36839663, 15164785, 2657946, 282122, 20655, 1098, 42, 1;
870101407, 372225541, 67708113, 7502470, 580780, 33480, 1470, 48, 1; ...
where column 0 of W^2 = column 1 of W = triangle A136231.
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PROGRAM
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(PARI) {T(n, k)=local(P=Mat(1), U=Mat(1), W=Mat(1), PShR); if(n>0, for(i=0, n, PShR=matrix(#P, #P, r, c, if(r>=c, if(r==c, 1, if(c==1, 0, P[r-1, c-1])))); U=P*PShR^2; U=matrix(#P+1, #P+1, r, c, if(r>=c, if(r<#P+1, U[r, c], if(c==1, (P^3)[ #P, 1], (P^(3*c-1))[r-c+1, 1])))); P=matrix(#U, #U, r, c, if(r>=c, if(r<#R, P[r, c], (U^c)[r-c+1, 1]))); W=P^3; )); (W^2)[n+1, k+1]}
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CROSSREFS
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Cf. A136221 (column 0); related tables: A136220 (P), A136228 (U), A136230 (V), A136231 (W), A136238 (W^3).
Adjacent sequences: A136232 A136233 A136234 this_sequence A136236 A136237 A136238
Sequence in context: A144356 A049374 A138192 this_sequence A113392 A113387 A090435
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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), Feb 07 2008
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