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Revision History for A006116

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Sum of Gaussian binomial coefficients [n,k] for q=2 and k=0..n.
(history; published version)
#105 by Charles R Greathouse IV at Thu Sep 08 08:44:34 EDT 2022
PROG

(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

Discussion
Thu Sep 08
08:44
OEIS Server: https://oeis.org/edit/global/2944
#104 by Alois P. Heinz at Sun Aug 08 21:42:56 EDT 2021
STATUS

editing

approved

#103 by Alois P. Heinz at Sun Aug 08 21:42:52 EDT 2021
MAPLE

# 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

STATUS

approved

editing

#102 by Alois P. Heinz at Tue Apr 13 17:01:06 EDT 2021
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proposed

approved

#101 by Michel Marcus at Tue Apr 13 16:52:51 EDT 2021
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editing

proposed

#100 by Michel Marcus at Tue Apr 13 16:52:47 EDT 2021
LINKS

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.

STATUS

proposed

editing

#99 by Michael De Vlieger at Tue Apr 13 16:36:59 EDT 2021
STATUS

editing

proposed

#98 by Michael De Vlieger at Tue Apr 13 16:36:57 EDT 2021
LINKS

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.

STATUS

approved

editing

#97 by Alois P. Heinz at Tue Sep 24 15:58:49 EDT 2019
STATUS

editing

approved

#96 by Alois P. Heinz at Tue Sep 24 06:36:35 EDT 2019
COMMENTS

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

STATUS

approved

editing

Discussion
Tue Sep 24
06:37
Alois P. Heinz: a(20) is prime, but ...
06:54
Andrey Zabolotskiy: I agree that such comments are usually useless and should be removed. There are quite many of them, but I am seriously thinking of eliminating most of them.