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Search: id:A120220
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| A120220 |
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Decimal expansion of sole real positive fixed point of Sum[x^Prime[n+1],{n,0,Infinity}]. |
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+0
2
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| 5, 5, 7, 8, 5, 8, 6, 5, 3, 7, 6, 7, 9, 5, 6, 6, 6, 3, 5, 7, 7, 2, 5, 9, 6, 6, 1, 1, 2, 5, 3, 6, 8, 8, 9, 7, 5, 4, 8, 5, 2, 2, 3, 9, 6, 8, 9
(list; cons; graph; listen)
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OFFSET
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0,1
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COMMENT
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Only other fixed points are 0 and A120219. Function involved is equivalent to o.g.f. Sum[A010051(n)*x^n, {n, 0, Infinity}] where A010051(0) is considered 0.
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EXAMPLE
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0.55785865376795666357725966112536889754852239689...
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MATHEMATICA
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Select[NSolve[Sum[x^Prime[n + 1], {n, 0, (*arb*)250}] == x, x, (*arb*)80], Element[ #[[1]][[2]], Reals] && Positive[ #[[1]][[2]]] &][[1]][[1]][[2]]
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CROSSREFS
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Cf. A120219.
Sequence in context: A053671 A028278 A095943 this_sequence A134125 A097996 A033300
Adjacent sequences: A120217 A120218 A120219 this_sequence A120221 A120222 A120223
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KEYWORD
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cons,hard,more,nonn
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AUTHOR
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Joseph Biberstine (jrbibers(AT)indiana.edu), Jun 10 2006
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