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Revision History for A002663 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

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a(n) = 2^n - C(n,0) - C(n,1) - C(n,2) - C(n,3).
(history; published version)
#69 by Charles R Greathouse IV at Thu Sep 08 08:44:31 EDT 2022
PROG

(MAGMAMagma) [2^n - Binomial(n, 0)- Binomial(n, 1) - Binomial(n, 2) - Binomial(n, 3): n in [0..35]]; // Vincenzo Librandi, May 20 2011

Discussion
Thu Sep 08
08:44
OEIS Server: https://oeis.org/edit/global/2944
#68 by Charles R Greathouse IV at Wed Apr 13 13:25:16 EDT 2022
LINKS

Simon Plouffe, <a href="https://arxiv.org/abs/0911.4975">Approximations de séries génératrices et quelques conjectures</a>, Dissertation, Université du Québec à Montréal, 1992; arXiv:0911.4975 [math.NT], 2009.

Discussion
Wed Apr 13
13:25
OEIS Server: https://oeis.org/edit/global/2938
#67 by Charles R Greathouse IV at Fri Mar 12 22:32:35 EST 2021
LINKS

Simon Plouffe, <a href="https://arxiv.org/ftp/arxiv/papers/0911abs/0911.4975.pdf">Approximations de séries génératrices et quelques conjectures</a>, Dissertation, Université du Québec à Montréal, 1992.

Discussion
Fri Mar 12
22:32
OEIS Server: https://oeis.org/edit/global/2898
#66 by N. J. A. Sloane at Mon Feb 22 14:14:29 EST 2021
LINKS

Simon Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articlesA000051/FonctionsGeneratricesa000051_2.pdf">1031 Generating Functions and Conjectures</a>, Université du Québec à Montréal, Appendix to Thesis, Montreal, 1992.

Discussion
Mon Feb 22
14:14
OEIS Server: https://oeis.org/edit/global/2888
#65 by N. J. A. Sloane at Mon Feb 22 12:12:20 EST 2021
LINKS

Simon Plouffe, <a href="httphttps://www.lacim.uqamarxiv.caorg/ftp/arxiv/%7Eplouffepapers/articles0911/MasterThesis0911.4975.pdf">Approximations de séries génératrices et quelques conjectures</a>, Dissertation, Université du Québec à Montréal, 1992.

Discussion
Mon Feb 22
12:12
OEIS Server: https://oeis.org/edit/global/2887
#64 by N. J. A. Sloane at Mon Nov 06 02:38:38 EST 2017
STATUS

proposed

approved

#63 by Jon E. Schoenfield at Sun Nov 05 22:31:35 EST 2017
STATUS

editing

proposed

#62 by Jon E. Schoenfield at Sun Nov 05 22:31:29 EST 2017
NAME

a(n) = 2^n - C(n,0) - C(n,1) - C(n,2) - C(n,3).

COMMENTS

The sequence starting (1, 6, 22, ...) is the binomial transform of A171418 and starting (0, 0, 0, 1, 6, 22, ...) is the binomial transform of (0, 0, 0, 1, 2, 2, 2, 2, 2, ...). - Gary W. Adamson, Jul 27 2015

FORMULA

a(n) = 2^n - A000125(n).

STATUS

proposed

editing

#61 by Rachel Barnett at Sun Nov 05 13:14:57 EST 2017
STATUS

editing

proposed

#60 by Rachel Barnett at Sun Nov 05 13:14:54 EST 2017
LINKS

R. K. Guy, <a href="/A000346/a000346.pdf">Letter to N. J. A. Sloane</a>

STATUS

approved

editing