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Search: id:A134050
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| 1, 1, 3, 23, 512, 34939, 7637688, 5539372954, 13703105571256, 118149647382446899, 3611029954044991125872, 396437704741571722701763726, 158000007601023255711816905096600
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Related to binary partitions.
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EXAMPLE
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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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PROGRAM
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(PARI) {a(n)=local(M=Mat(1), L, R); for(i=1, n, 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+1, 1]}
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CROSSREFS
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Cf. A134049; columns: A134051, A134052, A134053; A134054 (row sums).
Adjacent sequences: A134047 A134048 A134049 this_sequence A134051 A134052 A134053
Sequence in context: A055326 A133338 A116986 this_sequence A101191 A127900 A143985
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Oct 04 2007
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