OFFSET
0,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.6 Otter's Tree Enumeration Constants, p. 297.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Nils Berglund, Christian Kuehn, Model Spaces of Regularity Structures for Space-Fractional SPDEs, Journal of Statistical Physics, Springer Verlag, 2017, 168 (2), pp.331-368; HAL Id : hal-01432157.
Eric Weisstein's MathWorld, Weakly binary tree
EXAMPLE
0.31877662592502967548008176977801318197212418678787017019754968178957323426...
MATHEMATICA
digits = 103; Clear[c, k]; c[0] = 2; c[n_] := c[n] = c[n-1]^2 + 2; k[n_] := k[n] = (Sqrt[c[n]^2^(-n)]*Sqrt[3 + Sum[1/Product[c[j], {j, 1, k}], {k, 1, n}]])/(c[n]^2^(-n)*(2*Sqrt[Pi])); k[5]; k[n = 10]; While[RealDigits[k[n], 10, digits] != RealDigits[k[n-5], 10, digits], n = n+5]; RealDigits[k[n], 10, digits] // First
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, Jul 28 2014
STATUS
approved