The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A356185 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A356185

The difference between number of even and number of odd Grassmannian permutations of size n.
(history; published version)

#30 by Alois P. Heinz at Sat Jul 30 11:44:35 EDT 2022

STATUS

proposed

approved

#29 by Michel Marcus at Fri Jul 29 01:22:23 EDT 2022

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editing

proposed

#28 by Michel Marcus at Fri Jul 29 01:22:08 EDT 2022

REFERENCES

J. B. Gil and J. A. Tomasko, Restricted Grassmannian permutations, Enum. Combin. Appl. 2 (2022), no. 4, Article #S4PP6.

LINKS

Juan B. Gil and Jessica A. Tomasko, <a href="https://doi.org/10.54550/ECA2022V2S4PP6">Restricted Grassmannian permutations</a>, Enum. Combin. Appl. 2 (2022), no. 4, Article #S4PP6.

STATUS

proposed

editing

#27 by Alois P. Heinz at Thu Jul 28 21:17:21 EDT 2022

STATUS

editing

proposed

#26 by Alois P. Heinz at Thu Jul 28 21:11:00 EDT 2022

CROSSREFS

Bisections give: A005803 (even part), A183155 (odd part).

STATUS

proposed

editing

#25 by Alois P. Heinz at Thu Jul 28 18:21:07 EDT 2022

STATUS

editing

proposed

#24 by Alois P. Heinz at Thu Jul 28 18:17:23 EDT 2022

FORMULA

a(n) = A000325(n) - A233411(n) = A060546(n) - n = 2^ceiling(n/2) - n. (End)

a(n) = A000325(n) - 2*A032085(n) = A000325(n) - 2*A122746(n-2) for n>=2. (End)

#23 by Alois P. Heinz at Thu Jul 28 18:13:51 EDT 2022

CROSSREFS

Cf. A000325, A001710, A032085, A060546, A122746, A233411.

#22 by Alois P. Heinz at Thu Jul 28 18:10:20 EDT 2022

LINKS

Juan B. Gil and Jessica A. Tomasko, <a href="https://arxiv.org/abs/2112.03338">Restricted Grassmannian permutations</a>, arXiv:2112.03338 [math.CO], 2021.

STATUS

proposed

editing

#21 by Alois P. Heinz at Thu Jul 28 18:05:32 EDT 2022

STATUS

editing

proposed