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A134052
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Column 0 of matrix 4-th power of triangle A134049; a(n) = [A134049^4](n,0) = A134049(n+2,2)/4^n.
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5
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1, 4, 36, 876, 63520, 14568940, 11015752544, 28298819937896, 252647456547947232, 7975964313047992544460, 902538504812752048885181888, 370060584941821136890734642254392
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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EXAMPLE
| Triangle T=A134049 has the following properties:
(1) [T^(2^m)](n,k) = T(n+m,k+m)/(2^m)^(n-k) for m>=0; and
(2) [T^( 1/2^(n-1) )](n,k) = (2^k)^(n-k) for n>=k>=0.
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PROG
| (PARI) {a(n)=local(M=Mat(1), L, R); for(i=1, n+2, L=sum(j=1, #M, -(M^0-M)^j/j); M=sum(j=0, #L, (L/2^(#L-1))^j/j!); R=matrix(#M+1, #M+1, r, c, if(r>=c, if(r<=#M, M[r, c], 2^((c-1)*(#M+1-c))))); M=R^(2^(#R-2)) ); M[n+3, 3]/4^n}
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CROSSREFS
| Cf. A134049; columns: A134050, A134051, A134053; A134054 (row sums).
Sequence in context: A145565 A126152 A009446 * A127901 A061742 A136469
Adjacent sequences: A134049 A134050 A134051 * A134053 A134054 A134055
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Oct 04 2007
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