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Search: id:A145088
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| 1, 1, 5, 49, 741, 15457, 416661, 13908049, 557865765, 26296627233, 1431946482453, 88859040485585, 6214831383604709, 485449303578082273, 42025472165413172501, 4005872618389765500113, 418072369437989483917349
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OFFSET
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0,3
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COMMENT
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Let S(n,x) be the e.g.f. of row n of square table A145085, then the e.g.f.s satisfy: S(n,x) = exp( Integral S(n+1,x)^(n+1) dx ) for n>=0.
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FORMULA
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E.g.f.: A(x) = S(3,x) = exp( Integral S(4,x)^4 dx ) where S(n,x) is the e.g.f. of row n of square table A145085.
E.g.f.: A(x) = R(3,x)^(1/3) = exp( Integral R(4,x) dx ) where R(3,x) = e.g.f. of A145083 and R(4,x) = e.g.f. of A145084.
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PROGRAM
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(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]^(1/3), 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], n, x)}
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CROSSREFS
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Cf. A145085, A145086, A145087, A145089; A145080, A145083.
Sequence in context: A028575 A006554 A052750 this_sequence A062995 A104600 A002111
Adjacent sequences: A145085 A145086 A145087 this_sequence A145089 A145090 A145091
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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), Oct 01 2008
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