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Search: id:A102055
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| 1, 2, 1, 4, -13, 142, -1931, 36296, -893273, 27927346, -1081725559, 50861556172, -2854289486309, 188475382997654, -14467150771771043, 1277417937676246672, -128570745743431055281, 14632875988040732946106, -1869882665740777942166543, 266593648798424693540514836
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OFFSET
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0,2
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COMMENT
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1-a(n+1) equals the n-th partial sum of the Genocchi numbers (A001469).
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FORMULA
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a(n) = 1 - Sum_{k=0, n-1} A001469(k) for n>0, with a(0)=1.
This sequence's twin numbers are given in A133135. - Paul Curtz (bpcrtz(AT)free.fr), Aug 07 2008
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PROGRAM
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(PARI) {a(n)=local(M=matrix(n+2, n+2)); M[1, 1]=1; if(n>0, M[2, 1]=1; M[2, 2]=1); for(r=3, n+2, for(c=1, r, M[r, c]=if(c==1, M[r-1, 1], if(c==r, 1, M[r, c]=M[r-1, c]-((matrix(r-1, r-1, i, j, M[i, j]))^-1)[r-1, c-1])))); return(if(n==0, 1, M[n+2, 2]))}
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CROSSREFS
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Cf. A001469, A060083, A102054, A102056.
Sequence in context: A088624 A066409 A006173 this_sequence A032174 A087801 A025228
Adjacent sequences: A102052 A102053 A102054 this_sequence A102056 A102057 A102058
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KEYWORD
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sign
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Dec 28 2004
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