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Search: id:A128573
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| 1, 4, 40, 580, 10560, 226560, 5532960, 150570240, 4501422240, 146351879520, 5135738294400, 193376042294400, 7775407679034240, 332528365742227200, 15073953619379719680, 722117116504240994880, 36458486578829035929600
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OFFSET
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0,2
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FORMULA
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G.f.: A(x) = 1 + 4x*R(x,4)^2, where R(x,4) = 1 + 5*x*R(x,5)^2, R(x,5) = 1 + 6*x*R(x,6)^2, ..., R(x,n) = 1 + (n+1)*x*R(x,n+1)^2, ... and R(x,n) is the g.f. of row n of table A128570.
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PROGRAM
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(PARI) {a(n)=local(A=1+(n+4)*x); for(j=0, n, A=1+(n+4-j)*x*A^2 +x*O(x^n)); polcoeff(A, n)}
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CROSSREFS
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Cf. A128570 (triangle), other rows: A128318, A128571, A128572, A128574, A128575, A128576; A128577 (square of row 0), A128578 (main diagonal), A128579 (antidiagonal sums).
Sequence in context: A074637 A075878 A092812 this_sequence A052675 A141010 A141011
Adjacent sequences: A128570 A128571 A128572 this_sequence A128574 A128575 A128576
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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), Mar 11 2007
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