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Revision History for A005581

(Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A005581 a(n) = (n-1)*n*(n+4)/6.
(history; published version)
#163 by Charles R Greathouse IV at Fri Apr 28 17:44:44 EDT 2023
STATUS

proposed

approved

#162 by John Elias at Fri Apr 28 17:04:16 EDT 2023
STATUS

editing

proposed

#161 by John Elias at Fri Apr 28 17:03:59 EDT 2023
LINKS

John Elias, <a href="/A005581/a005581.png">Illustration: Triangular Staircasing</a>

John Elias, <a href="/A005581/a005581.png">Illustration: Triangular Staircasing</a>

#160 by John Elias at Fri Apr 28 17:02:52 EDT 2023
LINKS

John Elias, <a href="/A005581/a005581.png">Illustration: Triangular Staircasing</a>

STATUS

approved

editing

#159 by Charles R Greathouse IV at Thu Sep 08 08:44:33 EDT 2022
PROG

(MAGMAMagma) [(n-1)*n*(n+4)/6 : n in [0..50]]; // Wesley Ivan Hurt, Jul 10 2015

Discussion
Thu Sep 08 08:44
OEIS Server: https://oeis.org/edit/global/2944
#158 by Michel Marcus at Sun Jan 09 03:12:57 EST 2022
STATUS

reviewed

approved

#157 by Joerg Arndt at Sun Jan 09 02:43:16 EST 2022
STATUS

proposed

reviewed

#156 by Amiram Eldar at Sun Jan 09 02:39:55 EST 2022
STATUS

editing

proposed

#155 by Amiram Eldar at Sun Jan 09 02:19:25 EST 2022
LINKS

V. Jovovic, and G. Kilibarda, <a href="http://dx.doi.org/10.4213/dm398">On the number of Boolean functions in the Post classes F^{mu}_8</a>, Diskretnaya Matematika, Vol. 11, No. 4 (1999), nopp. 4, 127-138.

V. Jovovic, and G. Kilibarda, <a href="http://dx.doi.org/10.1515/dma.1999.9.6.593">On the number of Boolean functions in the Post classes F^{mu}_8</a>, (English translation), Discrete Mathematics and Applications, Vol. 9, (, No. 6 (1999), nopp. 6593-605.

Kyu-Hwan Lee, and Se-jin Oh, <a href="http://arxiv.org/abs/1601.06685">Catalan triangle numbers and binomial coefficients</a>, arXiv:1601.06685 [math.CO], 2016.

A. Alice McLeod and William W. O. J. Moser, <a href="http://www.jstor.org/stable/27642988">Counting cyclic binary strings</a>, Math. Mag., Vol. 80 (, No. 1, (2007), pp. 29-37.

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.

Simon Plouffe, <a href="/A000051/a000051_2.pdf">1031 Generating Functions</a>, Appendix to Thesis, Montreal, 1992.

C. Rossiter, <a href="http://noticingnumbers.net/300SeriesCube.htm">Depictions, Explorations and Formulas of the Euler/Pascal Cube</a> [>. [Dead link]

C. Rossiter, <a href="/A005581/a005581.pdf">Depictions, Explorations and Formulas of the Euler/Pascal Cube</a> [>. [Cached copy, May 15 2013]

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/TrinomialCoefficient.html">Trinomial Coefficient</a>>.

<a href="/index/Bo#Boolean">Index entries for sequences related to Boolean functions</a>>.

<a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4, -,-6, ,4, -,-1).

<a href="/index/Ch#Cheby">Index entries for sequences related to Chebyshev polynomials.</</a>>.

#154 by Amiram Eldar at Sun Jan 09 02:15:02 EST 2022
REFERENCES

J. Joseph D. E. Konhauser, Dan Velleman and etStan al., Wagon,, Which Way Did the Bicycle Go?, MAA , 1996, p. 177.

V. S. Shevelyov (Shevelev), Extension of the Moser class of four-line Latin rectangles, DAN Ukrainy, Vol. 3( (1992),), pp. 15-19. - Vladimir Shevelev, Apr 12 2010

A. M. Yaglom and I. M. Yaglom: , Challenging Mathematical Problems with Elementary Solutions. Vol. I. Combinatorial Analysis and Probability Theory. New York: Dover Publications, Inc., 1987, p. 13, #51 (the case k=3) (First published: San Francisco: Holden-Day, Inc., 1964).

LINKS

Armen G. Bagdasaryan, and Ovidiu Bagdasar, <a href="https://doi.org/10.1016/j.endm.2018.05.012">On some results concerning generalized arithmetic triangles</a>, Electronic Notes in Discrete Mathematics (2018) , Vol. 67, (2018), pp. 71-77.

Beáta Bényi, Miguel Méndez, José L. Ramírez, and Tanay Wakhare, <a href="https://arxiv.org/abs/1811.12897">Restricted r-Stirling Numbers and their Combinatorial Applications</a>, arXiv:1811.12897 [math.CO], 2018.

R. Richard K. Guy, <a href="/A005712/a005712.pdf">Letter to N. J. A. Sloane, 1987<//a>>, 1987.

R. Richard K. Guy, <a href="/A005581/a005581_1.pdf">Letter to N. J. A. Sloane, </a>, Feb 1988</a>.

F. T. Howard and Curtis Cooper, <a href="http://www.fq.math.ca/Papers1/49-3/HowardCooper.pdf">Some identities for r-Fibonacci numbers</a>, Fibonacci Quart., Vol. 49, No. 3 (2011), nopp. 3, 231-243.

Milan Janjic, <a href="httphttps://wwwpmf.pmfblunibl.org/wp-content/uploads/2017/10/janjic/">enumfor.pdf">Two Enumerative Functions</a>>.

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Last modified August 5 19:23 EDT 2024. Contains 374954 sequences. (Running on oeis4.)