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A145083
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Row 3 of square table A145080.
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6
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1, 3, 21, 243, 4029, 88491, 2450085, 82648611, 3313381293, 154912893243, 8322387603093, 507658268093811, 34817646211022301, 2662987196578490187, 225556061819586894597, 21030571231219899162435
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Let R(n,x) be the e.g.f. of row n of square table A145080, then the
e.g.f.s satisfy: R(n,x) = exp( n*Integral R(n+1,x) dx ) for n>=1.
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FORMULA
| E.g.f.: A(x) = R(3,x) = exp( 3*Integral R(4,x) dx ) where R(n,x) is the e.g.f. of row n of square table A145080.
E.g.f.: A(x) = G(x)^3 where G(x) is the e.g.f. of A145088, which is row 3 of square table A145085.
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PROG
| (PARI) {a(n)=local(A=vector(n+4, j, 1+j*x)); for(i=0, n+3, for(j=0, n, m=n+3-j; A[m]=exp(m*intformal(A[m+1]+x*O(x^n))))); n!*polcoeff(A[3], n, x)}
(PARI) {a(n)=local(A=vector(n+4, j, 1+j*x)); for(i=0, n+3, for(j=0, n, m=n+3-j; A[m]=exp(intformal(A[m+1]^(m+1)+x*O(x^n))))); n!*polcoeff(A[3]^3, n, x)}
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CROSSREFS
| Cf. A145080, A145081, A145082, A145084; A145085, A145088.
Sequence in context: A179331 A138903 A058562 * A138213 A193333 A205319
Adjacent sequences: A145080 A145081 A145082 * A145084 A145085 A145086
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Oct 01 2008
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