The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A059062 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A059062

Card-matching numbers (Dinner-Diner matching numbers).
(history; published version)

#24 by Bruno Berselli at Tue Sep 26 05:08:51 EDT 2017

STATUS

proposed

approved

#23 by Michel Marcus at Tue Sep 26 04:03:04 EDT 2017

STATUS

editing

proposed

#22 by Michel Marcus at Tue Sep 26 04:03:00 EDT 2017

REFERENCES

F. F. Knudsen and I. Skau, On the Asymptotic Solution of a Card-Matching Problem, Mathematics Magazine 69 (1996), 190-197.

B. H. Margolius, The Dinner-Diner Matching Problem, Mathematics Magazine, 76 (2003), 107-118.

S. G. Penrice, Derangements, permanents and Christmas presents, The American Mathematical Monthly 98(1991), 617-620.

LINKS

F. F. Knudsen and I. Skau, <a href="http://www.jstor.org/stable/2691467">On the Asymptotic Solution of a Card-Matching Problem</a>, Mathematics Magazine 69 (1996), 190-197.

B. H. Margolius, <a href="http://www.jstor.org/stable/3219303">The Dinner-Diner Matching Problem</a>, Mathematics Magazine, 76 (2003), 107-118.

S. G. Penrice, <a href="http://www.jstor.org/stable/2324927">Derangements, permanents and Christmas presents</a>, The American Mathematical Monthly 98(1991), 617-620.

STATUS

approved

editing

#21 by Charles R Greathouse IV at Sat Feb 04 01:02:44 EST 2017

REFERENCES

J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, ppp. 174-178.

Discussion

Sat Feb 04

01:02

OEIS Server: https://oeis.org/edit/global/2589

#20 by Charles R Greathouse IV at Thu Nov 21 13:11:35 EST 2013

MATHEMATICA

nmax = 4; r[x_, n_, k_] := (k!^2*Sum[ x^j/((k-j)!^2*j!), {j, 0, k}])^n; f[t_, n_, k_] := Sum[ Coefficient[ r[x, n, k], x, j]*(t-1)^j*(n*k-j)!, {j, 0, n*k}]; Flatten[ Table[ Coefficient[ f[t, n, 5], t, m]/5!^n, {n, 0, nmax}, {m, 0, 5n}]](* From _Jean-François Alcover, _, Nov 23 2011, after Maple *)

Discussion

Thu Nov 21

13:11

OEIS Server: https://oeis.org/edit/global/2066

#19 by N. J. A. Sloane at Wed Oct 09 02:23:26 EDT 2013

COMMENTS

Analogous to A008290 - _Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), _, Jun 22 2005

Discussion

Wed Oct 09

02:23

OEIS Server: https://oeis.org/edit/global/1991

#18 by Joerg Arndt at Tue Feb 14 03:32:00 EST 2012

STATUS

proposed

approved

#17 by Vincenzo Librandi at Tue Feb 14 03:21:18 EST 2012

STATUS

editing

proposed

#16 by Vincenzo Librandi at Tue Feb 14 03:20:34 EST 2012

LINKS

Vincenzo Librandi, <a href="/A059062/b059062.txt">Table Rows n = 1..15 of n, a(n) for n = 0..615triangle, flattened</a>

STATUS

proposed

editing

#15 by Vincenzo Librandi at Tue Feb 14 02:46:11 EST 2012

STATUS

editing

proposed

Discussion

Tue Feb 14

02:57

Bruno Berselli: About format b-file, this is a triangle (see comment) → A027907, A036040, A027748 etc.

03:17

Charles R Greathouse IV: Yes, the usual format for tables is the "Rows...flattened" one at the mentioned sequences.