(MAGMAMagma) I:=[1, 2]; [n le 2 select I[n] else 2*Self(n-1)+(2^(n-2)-1)*Self(n-2): n in [1..20]]; // Vincenzo Librandi, Aug 12 2014
(MAGMAMagma) I:=[1, 2]; [n le 2 select I[n] else 2*Self(n-1)+(2^(n-2)-1)*Self(n-2): n in [1..20]]; // Vincenzo Librandi, Aug 12 2014
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# second Maple program:
b:= proc(n, m) option remember; `if`(n=0, 1,
2^m*b(n-1, m)+b(n-1, m+1))
end:
a:= n-> b(n, 0):
seq(a(n), n=0..25); # Alois P. Heinz, Aug 08 2021
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S. Hitzemann, and W. Hochstattler, <a href="http://dx.doi.org/10.1016/j.disc.2010.09.001">On the combinatorics of Galois numbers</a>, Discr. Math. 310 (2010) 3551-3557, Galois Numbers G_{n}^(2).
Vjekoslav Kovač, and Hrvoje Šikić, <a href="https://arxiv.org/abs/1709.01747">Characterizations of democratic systems of translates on locally compact abelian groups</a>, arXiv:1709.01747 [math.FA], 2017.
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Hsien-Kuei Hwang, Emma Yu Jin, and Michael J. Schlosser, <a href="https://arxiv.org/abs/2012.13570">Asymptotics and statistics on Fishburn Matrices: dimension distribution and a conjecture of Stoimenow</a>, arXiv:2012.13570 [math.CO], 2020.
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The subsequence of primes in this sum of Gaussian binomial coefficients begins: 2, 5, 67, no more through a(19). - Jonathan Vos Post, Mar 11 2010
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