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Search: id:A102226
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| A102226 |
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Column 0 of triangular matrix A102225, in which row k is formed from the first differences of row (k-1) of its matrix square (A102228). |
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+0
5
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| 1, 1, 2, 3, 7, 17, 75, 346, 4874, 49047, 3009094, 69540959, 19266759978, 1145861630146, 1316021940482105, 231957006949639674, 1000756528918141445755, 578298169571294295021140
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OFFSET
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0,3
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COMMENT
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Also equals column 0 of A102228 shift one place right.
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FORMULA
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a(n) = A102229(n-1) - A102227(n) for n>=2, where A102227 equals column 1 of A102225, and A102229 equals column 1 of A102228.
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PROGRAM
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(PARI) {a(n)=local(A=matrix(1, 1), B); A[1, 1]=1; for(m=2, n+1, B=matrix(m, m); for(i=1, m, for(j=1, i, if(j==i, B[i, j]=1, if(j==1, B[i, j]=(A^2)[i-1, 1], B[i, j]=(A^2)[i-1, j]-(A^2)[i-1, j-1])); )); A=B); return(A[n+1, 1])}
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CROSSREFS
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Cf. A102225, A102227, A102228, A102229.
Sequence in context: A143013 A113483 A059801 this_sequence A058334 A131093 A002864
Adjacent sequences: A102223 A102224 A102225 this_sequence A102227 A102228 A102229
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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), Jan 01 2005
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