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Search: id:A102227
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| A102227 |
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Column 1 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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| 0, 1, -1, -5, -20, -51, -289, -1426, -22622, -259734, -15968025, -405699154, -110016092396, -6660687936224, -7918107904514781, -1332064204800175993, -6282110941080800842150, -3412055538464918268114551, -57520868453379641772222723912
(list; graph; listen)
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OFFSET
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0,4
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FORMULA
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a(n) = A102229(n-1) - A102226(n) for n>=2, where A102226 equals column 0 of A102225 and A102229 equals column 1 of A102228.
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PROGRAM
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(PARI) {a(n)=local(A=matrix(2, 2), 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, 2])}
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CROSSREFS
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Cf. A102225, A102226, A102228, A102229.
Sequence in context: A034133 A006504 A007045 this_sequence A006010 A055383 A090133
Adjacent sequences: A102224 A102225 A102226 this_sequence A102228 A102229 A102230
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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), Jan 01 2005
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