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A118452
Decimal expansion of onset of logistic map 5-bifurcation.
13
3, 7, 3, 8, 1, 7, 2, 3, 7, 5, 2, 6, 5, 9, 6, 2, 3, 6, 9, 4, 3, 0, 2, 6, 1, 5, 5, 9, 6, 7, 9, 5, 3, 1, 9, 7, 3, 4, 4, 4, 1, 1, 5, 4, 4, 0, 4, 8, 9, 9, 9, 1, 9, 2, 2, 9, 0, 4, 2, 8, 8, 4, 5, 5, 3, 3, 4, 9, 4, 4, 2, 3, 0, 7, 1, 7, 0, 9, 7, 7, 9, 6, 0, 5, 1, 7, 0, 9, 0, 4, 9, 5, 7, 4, 8, 4, 1, 7, 6, 5, 0, 6, 2, 1, 6
OFFSET
1,1
COMMENTS
Algebraic of order 22.
LINKS
Eric Weisstein's World of Mathematics, Logistic Map
EXAMPLE
3.7381723752659623694...
MATHEMATICA
RealDigits[Root[ -28629151 - 31399714*#1 - 14329471*#1^2 + 3613360*#1^3 + 13369804*#1^4 + 5836984*#1^5 - 1495060*#1^6 - 4002880*#1^7 - 1613676*#1^8 + 1484268*#1^9 + 808298*#1^10 - 234632*#1^11 - 294146*#1^12 + 8008*#1^13 + 103556*#1^14 - 17344*#1^15 - 18092*#1^16 + 7488*#1^17 + 116*#1^18 - 700*#1^19 + 189*#1^20 - 22*#1^21 + #1^22 &, 4], 10, 110][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Apr 28 2006
STATUS
approved