The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A199210 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A199210

a(n) = (11*4^n + 1)/3.
(history; published version)

#22 by Michael De Vlieger at Wed Jun 12 12:05:48 EDT 2024

STATUS

reviewed

approved

#21 by Michel Marcus at Wed Jun 12 11:11:13 EDT 2024

STATUS

proposed

reviewed

#20 by Michael De Vlieger at Wed Jun 12 10:32:40 EDT 2024

STATUS

editing

proposed

#19 by Michael De Vlieger at Wed Jun 12 10:32:39 EDT 2024

LINKS

Amya Luo, <a href="https://math.dartmouth.edu/theses/undergrad/2024/Luo-thesis.pdf">Pattern Avoidance in Nonnesting Permutations</a>, Undergraduate Thesis, Dartmouth College (2024). See p. 16.

STATUS

approved

editing

#18 by Joerg Arndt at Fri Jan 20 01:33:30 EST 2023

STATUS

reviewed

approved

#17 by Michel Marcus at Fri Jan 20 01:19:05 EST 2023

STATUS

proposed

reviewed

#16 by G. C. Greubel at Thu Jan 19 23:57:25 EST 2023

STATUS

editing

proposed

#15 by G. C. Greubel at Thu Jan 19 23:56:04 EST 2023

NAME

a(n) = (11*4^n + 1)/3.

FORMULA

a(n) = 4*a(n-1) - 1.

a(n) = 5*a(n-1) - 4*a(n-2).

G.f.: (4-5*x)/((1-x)*(1-4*x)). - Bruno Berselli, Nov 04 2011

E.g.f.: (1/3)*(11*exp(4*x) + exp(x)). - G. C. Greubel, Jan 19 2023

MATHEMATICA

LinearRecurrence[{5, -4}, {4, 15}, 31] (* G. C. Greubel, Jan 19 2023 *)

PROG

(SageMath) [(11*4^n+1)/3 for n in range(31)] # G. C. Greubel, Jan 19 2023

CROSSREFS

Sequences of the form (m*4^n + 1)/3: A007583 (m=2), A136412 (m=5), this sequence (m=11), A199210 (m=11), A206373 (m=14).

STATUS

approved

editing

#14 by Charles R Greathouse IV at Thu Sep 08 08:46:00 EDT 2022

PROG

(MAGMAMagma) [(11*4^n+1)/3: n in [0..30]];

Discussion

Thu Sep 08

08:46

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

#13 by Bruno Berselli at Thu Oct 22 10:44:31 EDT 2015

STATUS

editing

approved