The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A127358

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A127358

a(n) = Sum_{k=0..n} binomial(n, floor(k/2))*2^(n-k).
(history; published version)

#34 by Michael De Vlieger at Mon Feb 14 21:24:17 EST 2022

STATUS

proposed

approved

#33 by Jon E. Schoenfield at Mon Feb 14 21:21:37 EST 2022

STATUS

editing

proposed

#32 by Jon E. Schoenfield at Mon Feb 14 21:21:35 EST 2022

FORMULA

From Gary W. Adamson, Sep 07 2011: (Start)

a(n) is the sum of top row terms of M^n, M = is an infinite square production matrix as follows:

2, 1, 0, 0, 0, ...

1, 0, 1, 0, 0, ...

0, 1, 0, 1, 0, ...

0, 0, 1, 0, 1, ...

0, 0, 0, 1, 0, ...

... - Gary W. Adamson, Sep 07 2011

... (End)

STATUS

approved

editing

#31 by Susanna Cuyler at Sun Dec 15 22:02:25 EST 2019

STATUS

reviewed

approved

#30 by Michel Marcus at Sun Dec 15 11:40:50 EST 2019

STATUS

proposed

reviewed

#29 by Michael De Vlieger at Sun Dec 15 10:14:59 EST 2019

STATUS

editing

proposed

#28 by Michael De Vlieger at Sun Dec 15 10:14:57 EST 2019

LINKS

Isaac DeJager, Madeleine Naquin, Frank Seidl, <a href="https://www.valpo.edu/mathematics-statistics/files/2019/08/Drube2019.pdf">Colored Motzkin Paths of Higher Order</a>, VERUM 2019.

STATUS

approved

editing

#27 by Joerg Arndt at Sun Oct 15 12:41:48 EDT 2017

STATUS

editing

approved

#26 by Joerg Arndt at Sun Oct 15 12:41:42 EDT 2017

FORMULA

G.f.: (3 + (1+2x)/sqrt(1-4x^2))/(4-10x).

2a(n+1) - 5a(n) = binomial(n, floor(n/2)).

#25 by Michel Marcus at Wed Sep 06 02:19:22 EDT 2017

FORMULA

G.f.: (3 + (1+2x)/sqrt(1-4x^2))/(4-10x).

2a(n+1) - 5a(n) = binomial(n, floor(n/2)).

G.f.: (3 + (1+2x)/sqrt(1-4x^2))/(4-10x).

2a(n+1) - 5a(n) = binomial(n, floor(n/2)).

STATUS

proposed

editing

Discussion

Wed Sep 06

02:20

Michel Marcus: Please sign as shown in Example 3 of https://oeis.org/wiki/Style_Sheet#Signing_your_name_when_you_contribute_to_an_existing_sequence

Wed Oct 11

22:58

OEIS Server: This sequence has not been edited or commented on for a week
yet is not proposed for review.  If it is ready for review, please
visit https://oeis.org/draft/A127358 and click the button that reads
"These changes are ready for review by an OEIS Editor."

Thanks.
  - The OEIS Server