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A048164 a(0)=1, a(n+1)=1+(2^(2^n)+1)*a(n). +0
4
1, 4, 21, 358, 92007, 6029862760, 25898063359598159721, 477734946799221833229035410333259818858, 162564778457687820218065957445498785826947155451688293007128627114802460256107 (list; graph; listen)
OFFSET

0,2

COMMENT

a(n) = height of lattice of orthogonal arrays with 2^2^n runs.

LINKS

E. M. Rains, N. J. A. Sloane and J. Stufken, The Lattice of N-Run Orthogonal Arrays, J. Stat. Planning Inference, 102 (2002), 477-500 (Abstract, pdf, ps)

FORMULA

a(n) converges to nearest integer to c*(2^(2^n)-1), where c = 1.403936827882178... (see A048649).

CROSSREFS

Cf. A039930, A048638.

Sequence in context: A006822 A165627 A126458 this_sequence A118909 A158947 A000868

Adjacent sequences: A048161 A048162 A048163 this_sequence A048165 A048166 A048167

KEYWORD

nonn,nice,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), E. M. Rains

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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