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Search: id:A134054
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| 1, 2, 8, 80, 2225, 184700, 48156025, 41008196507, 117576923431865, 1162187460377703220, 40342092016795699709297, 4989979910857539524339725455, 2225169577804416081963640015838617
(list; graph; listen)
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OFFSET
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0,2
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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+3, 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)) ); sum(k=0, n, M[n+1, k+1])}
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CROSSREFS
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Cf. A134049; columns: A134050, A134051, A134052, A134053.
Sequence in context: A073561 A130530 A134529 this_sequence A134086 A013175 A120820
Adjacent sequences: A134051 A134052 A134053 this_sequence A134055 A134056 A134057
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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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