The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A026671 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A026671

Number of lattice paths from (0,0) to (n,n) with steps (0,1), (1,0) and, when on the diagonal, (1,1).
(history; published version)

#92 by Alois P. Heinz at Thu Sep 15 20:55:02 EDT 2022

STATUS

editing

approved

#91 by Alois P. Heinz at Thu Sep 15 20:54:58 EDT 2022

DATA

1, 3, 11, 43, 173, 707, 2917, 12111, 50503, 211263, 885831, 3720995, 15652239, 65913927, 277822147, 1171853635, 4945846997, 20884526283, 88224662549, 372827899079, 1576001732485, 6663706588179, 28181895551161, 119208323665543, 504329070986033, 2133944799315027

STATUS

approved

editing

#90 by Charles R Greathouse IV at Thu Sep 08 08:44:49 EDT 2022

PROG

(MAGMAMagma) R<x>:=PowerSeriesRing(Rationals(), 30); Coefficients(R!( 1/(Sqrt(1-4*x)-x) )); // G. C. Greubel, Jul 16 2019

Discussion

Thu Sep 08

08:44

OEIS Server: https://oeis.org/edit/global/2944

#89 by Joerg Arndt at Mon Jan 10 03:05:51 EST 2022

STATUS

reviewed

approved

#88 by Michel Marcus at Mon Jan 10 02:12:18 EST 2022

STATUS

proposed

reviewed

#87 by Peter Luschny at Mon Jan 10 02:07:56 EST 2022

STATUS

editing

proposed

#86 by Peter Luschny at Mon Jan 10 02:07:23 EST 2022

FORMULA

a(n) = C(n,m)/n*Sum_{k=1..n} k*F(k)*C(n,m-k), where F(n) = A000045(n). - Vladimir Kruchinin, Jan 09 2022

STATUS

proposed

editing

Discussion

Mon Jan 10

02:07

Peter Luschny: By request of the author.

#85 by Joerg Arndt at Sun Jan 09 11:02:02 EST 2022

STATUS

editing

proposed

Discussion

Sun Jan 09

11:13

Peter Luschny: ? What is m?

21:54

Vladimir Kruchinin: This is mistake. Remove this formula.

#84 by Joerg Arndt at Sun Jan 09 11:01:58 EST 2022

FORMULA

a(n) = C(n,m)/n*Sum_{k=1..n} k*F(k)*C(n,m-k), where F(n) - Fibonacci numbers (= A000045(n). - Vladimir Kruchinin, Jan 09 2022

STATUS

proposed

editing

#83 by Michel Marcus at Sun Jan 09 10:40:14 EST 2022

STATUS

editing

proposed