A048164
a(0)=1, a(n+1)=1+(2^(2^n)+1)*a(n).
Original entry on oeis.org
1, 4, 21, 358, 92007, 6029862760, 25898063359598159721, 477734946799221833229035410333259818858, 162564778457687820218065957445498785826947155451688293007128627114802460256107
Offset: 0
- 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)
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RecurrenceTable[{a[0]==1,a[n]==1+(2^(2^(n-1))+1)a[n-1]},a,{n,10}] (* Harvey P. Dale, Dec 13 2013 *)
A039927
Number of types of maximal mixed orthogonal arrays with n runs.
Original entry on oeis.org
0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 1, 4, 1, 1, 1
Offset: 1
- A. S. Hedayat, N. J. A. Sloane and J. Stufken, Orthogonal Arrays, Springer-Verlag, NY, 1999.
- 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).
- Eric D. Schoen, Pieter T. Eendebak and Man V. M. Nguyen, Complete enumeration of pure-level and mixed-level orthogonal arrays, Journal of Combinatorial Designs, Volume 18, Issue 2, pages 123-140, March 2010; DOI: 10.1002/jcd.20236; Correction: Journal of Combinatorial Designs, Volume 18, Issue 6, page 488, November 2010; DOI: 10.1002/jcd.20270.
Needs to be updated using the results of Schoen et al. (2010). -
N. J. A. Sloane, Feb 21 2013
A039931
Number of different sets of parameters for mixed orthogonal arrays with n runs and strength 2.
Original entry on oeis.org
1, 2, 2, 5, 2, 5, 2, 14, 6, 5, 2, 23, 2, 5, 5, 61, 2, 26, 2, 35, 5, 5, 2
Offset: 1
For 12 runs there are 23 different sets of parameters: 12^1, 2^k with 1 <= k <= 11, 3^1*2^k with 0 <= k <= 4, 6^1*2^k with 0 <= k <= 2, 4^1*3^1, 4^1 and 1^1.
- A. S. Hedayat, N. J. A. Sloane and J. Stufken, Orthogonal Arrays, Springer-Verlag, NY, 1999.
- 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).
- Eric D. Schoen, Pieter T. Eendebak and Man V. M. Nguyen, Complete enumeration of pure-level and mixed-level orthogonal arrays, Journal of Combinatorial Designs, Volume 18, Issue 2, pages 123-140, March 2010; DOI: 10.1002/jcd.20236; Correction: Journal of Combinatorial Designs, Volume 18, Issue 6, page 488, November 2010; DOI: 10.1002/jcd.20270.
Needs to be updated using the results of Schoen et al. (2010). -
N. J. A. Sloane, Feb 21 2013
A048638
Height of lattice of parameters of mixed orthogonal arrays with 2^n runs and strength 2.
Original entry on oeis.org
1, 4, 9, 21, 42, 86, 171, 358, 715, 1431
Offset: 0
- 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)
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