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Revision History for A005329 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
a(n) = Product_{i=1..n} (2^i - 1). Also called 2-factorial numbers.
(history; published version)
#159 by Charles R Greathouse IV at Sun Feb 16 08:32:28 EST 2025
LINKS

Eric Weisstein's World of Mathematics, <a href="httphttps://mathworld.wolfram.com/DominatingSet.html">Dominating Set</a>.

Eric Weisstein's World of Mathematics, <a href="httphttps://mathworld.wolfram.com/q-Factorial.html">q-Factorial</a>.

Discussion
Sun Feb 16
08:32
OEIS Server: https://oeis.org/edit/global/3014
#158 by Peter Luschny at Sat Feb 19 07:24:12 EST 2022
STATUS

reviewed

approved

#157 by Joerg Arndt at Sat Feb 19 05:21:38 EST 2022
STATUS

proposed

reviewed

#156 by Amiram Eldar at Sat Feb 19 03:40:19 EST 2022
STATUS

editing

proposed

#155 by Amiram Eldar at Sat Feb 19 03:24:43 EST 2022
REFERENCES

A. Annie Cuyt, V. B. Vigdis Brevik Petersen, B. Brigitte Verdonk, H. Haakon Waadeland, and W. William B. Jones. , Handbook of continued fractions for special functions. , Springer, New York, 2008. (see 19.2.1)

M. Mark Ronan, Lectures on Buildings (Perspectives in Mathematics; Vol. 7), Academic Press Inc., 1989.

LINKS

E. Andresen and K. Kjeldsen, <a href="http://dx.doi.org/10.1016/0012-365X(76)90054-6">On certain subgraphs of a complete transitively directed graph</a>, Discrete Math. , Vol. 14 , No. 2 (1976), nopp. 2, 103-119.

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/DominatingSet.html">Dominating Set</a>.

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/q-Factorial.html">q-Factorial</a>.

<a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>.

#154 by Amiram Eldar at Sat Feb 19 03:21:30 EST 2022
REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, p. 358.

FORMULA

From Amiram Eldar, Feb 19 2022: (Start)

Sum_{n>=0} 1/a(n) = A079555.

Sum_{n>=0} (-1)^n/a(n) = A048651. (End)

CROSSREFS

Cf. A048651, A079555, A152476 (inverse binomial transform).

STATUS

approved

editing

#153 by N. J. A. Sloane at Fri Feb 18 22:56:52 EST 2022
STATUS

proposed

approved

#152 by Jon E. Schoenfield at Thu Jan 20 21:48:36 EST 2022
STATUS

editing

proposed

#151 by Jon E. Schoenfield at Thu Jan 20 21:48:33 EST 2022
PROG

(MAGMAMagma) [1] cat [&*[ 2^k-1: k in [1..n] ]: n in [1..16]]; // Vincenzo Librandi, Dec 24 2015

STATUS

proposed

editing

#150 by Wesley Ivan Hurt at Wed Jan 05 23:54:48 EST 2022
STATUS

editing

proposed

Discussion
Thu Jan 06
00:55
Jon E. Schoenfield: @Wesley -- thanks for catching the problem with the missing space after the hyphen.  (My browser broke the line immediately after the hyphen, so I didn't see the problem.)  :-/