[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Revision History for A001499 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Number of n X n matrices with exactly 2 1's in each row and column, other entries 0.
(history; published version)
#106 by Alois P. Heinz at Fri Nov 03 10:27:25 EDT 2023
STATUS

editing

approved

#105 by Alois P. Heinz at Fri Nov 03 10:27:20 EDT 2023
LINKS

R. W. Robinson and Alois P. Heinz, <a href="/A001499/b001499.txt">Table of n, a(n) for n = 0..200</a> (terms n = 0..48 from R. W. Robinson)

STATUS

approved

editing

#104 by Alois P. Heinz at Wed Jan 05 06:11:53 EST 2022
STATUS

reviewed

approved

#103 by Michel Marcus at Wed Jan 05 01:57:56 EST 2022
STATUS

proposed

reviewed

#102 by Jon E. Schoenfield at Wed Jan 05 00:42:36 EST 2022
STATUS

editing

proposed

#101 by Jon E. Schoenfield at Wed Jan 05 00:42:34 EST 2022
FORMULA

limLimit_(n->infinity) sqrt(n)*a(n)/(n!)^2 = A096411 [Kuczma]. - R. J. Mathar, Sep 21 2007

a(n) = 4^(-n) * n!^2 * sum(Sum_{i=0..n, } (-2)^i * (2*n - 2*i)! / (i!*(n-i)!^2)) ). - Shanzhen Gao, Feb 15 2010

STATUS

approved

editing

#100 by Michel Marcus at Sat Dec 11 02:29:22 EST 2021
STATUS

reviewed

approved

#99 by Joerg Arndt at Sat Dec 11 02:22:30 EST 2021
STATUS

proposed

reviewed

#98 by Michel Marcus at Fri Dec 10 09:18:03 EST 2021
STATUS

editing

proposed

#97 by Michel Marcus at Fri Dec 10 09:17:51 EST 2021
REFERENCES

Gao, Shanzhen, Gao and Matheis, Kenneth, Matheis, Closed formulas and integer sequences arising from the enumeration of (0,1)-matrices with row sum two and some constant column sums. In Proceedings of the Forty-First Southeastern International Conference on Combinatorics, Graph Theory and Computing. Congr. Numer. 202 (2010), 45-53.

LINKS

P. Paul Barry, <a href="http://dx.doi.org/10.1155/2013/657806">On the Connection Coefficients of the Chebyshev-Boubaker polynomials</a>, The Scientific World Journal, Volume 2013 (2013), Article ID 657806.

Rui-Li Liu, and Feng-Zhen Zhao, <a href="https://www.emis.de/journals/JIS/VOL21/Liu/liu19.html">New Sufficient Conditions for Log-Balancedness, With Applications to Combinatorial Sequences</a>, J. Int. Seq., Vol. 21 (2018), Article 18.5.7.

Bo-Ying Wang, and Fuzhen Zhang, <a href="http://dx.doi.org/10.1016/S0012-365X(97)00197-0">On the precise number of (0,1)-matrices in A(R,S)</a>, Discrete Math. 187 (1998), no. 1-3, 211--220. MR1630720 (99f:05010). - From N. J. A. Sloane, Jun 07 2012

STATUS

proposed

editing