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A240982 Decimal expansion of the limit of a recursive sequence connected to the Plastic constant (A060006). 0
1, 8, 1, 6, 8, 8, 3, 4, 2, 4, 2, 4, 4, 7, 4, 0, 3, 1, 2, 4, 4, 8, 1, 8, 8, 2, 0, 2, 2, 2, 4, 8, 0, 7, 4, 5, 2, 9, 6, 5, 9, 2, 1, 7, 5, 7, 7, 5, 8, 7, 3, 4, 2, 3, 1, 5, 8, 1, 2, 5, 2, 9, 1, 6, 7, 0, 3, 9, 4, 7, 1, 7, 7, 1, 6, 0, 4, 1, 5, 3, 6, 7, 7, 5, 8, 0, 5, 7, 8, 6, 8, 7, 9, 6, 3, 9, 2, 3, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge, 2003, Section 1.2.2 Cubic Variations of the Golden Mean, p. 9.

LINKS

Table of n, a(n) for n=1..99.

Steven R. Finch, Errata and Addenda to Mathematical Constants

Steven R. Finch, Errata and Addenda to Mathematical Constants, January 22, 2016. [Cached copy, with permission of the author]

Eric Weisstein's World of Mathematics, Plastic Constant

Wikipedia, Plastic number

FORMULA

psi(1)=1, psi(n) = (1+psi(n-1))^(1/3),

lim_(n -> infinity) (psi0-psi(n))*(3*(1+1/psi0))^n, where psi0 = A060006 = the Plastic constant.

EXAMPLE

1.8168834242447403124481882022248074529659217577587342315812529167...

MATHEMATICA

digits = 99; n0 = 10; dn = 10; psi0 = A060006 = Root[x^3 - x - 1, x, 1] // N[#, 3*digits]&; Clear[psi, limPsi]; psi[1] = 1; psi[n_] := psi[n] = (1 + psi[n - 1])^(1/3) // N[#, 3*digits]&; limPsi[n_] := limPsi[n] = (psi0 - psi[n])*(3*(1 + 1/psi0))^n; limPsi[n = n0]; limPsi[n = n0 + dn]; While[RealDigits[limPsi[n], 10, digits] != RealDigits[limPsi[n - dn], 10, digits], Print["n = ", n ]; n = n + dn]; RealDigits[limPsi[n], 10, digits] // First

CROSSREFS

Cf. A060006.

Sequence in context: A299627 A157697 A281785 * A258146 A182551 A005486

Adjacent sequences:  A240979 A240980 A240981 * A240983 A240984 A240985

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Aug 06 2014

STATUS

approved

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Last modified August 17 11:51 EDT 2019. Contains 326057 sequences. (Running on oeis4.)