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Search: id:A107097
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| A107097 |
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G.f. satisfies: A(A(x)) = A(x)/(1-x), so that the self-COMPOSE transform generates partial sums (A107098). |
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+0
2
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| 0, 1, 1, 0, 1, -3, 13, -63, 339, -1982, 12429, -82827, 582589, -4303016, 33240205, -267697961, 2241725581, -19477340744, 175259713769, -1630583565434, 15663877511863, -155168272246709, 1583282220672515, -16623104947488348, 179409709469784087, -1988706708427161585
(list; graph; listen)
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OFFSET
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0,6
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FORMULA
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G.f. equals series reversion of g.f. for signed A030266.
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EXAMPLE
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Series reversion of g.f.:
x + x^2 + x^4 - 3*x^5 + 13*x^6 - 63*x^7 + 339*x^8 -+...
equals g.f. of signed A030266:
x - x^2 + 2*x^3 - 6*x^4 + 23*x^5 - 104*x^6 + 531*x^7 -+...
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PROGRAM
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(PARI) {a(n)=local(A, B, F); if(n<1, 0, F=x+2*x^2-3*x^3+x*O(x^n); A=F; for(j=0, n, for(i=0, j, B=serreverse(A); A=(A+subst(B, x, A/(1-x)))/2); A=round(A)); polcoeff(A, n, x))}
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CROSSREFS
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Cf. A107098.
Adjacent sequences: A107094 A107095 A107096 this_sequence A107098 A107099 A107100
Sequence in context: A130525 A000259 A007855 this_sequence A006923 A011272 A065065
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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), May 12 2005
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