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Revision History for A059502

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A059502

a(n) = (3*n*F(2n-1) + (3-n)*F(2n))/5 where F() = Fibonacci numbers A000045.
(history; published version)

#39 by Alois P. Heinz at Thu May 04 19:32:59 EDT 2023

STATUS

editing

approved

#38 by Alois P. Heinz at Thu May 04 19:32:53 EDT 2023

DATA

0, 1, 3, 9, 27, 80, 234, 677, 1941, 5523, 15615, 43906, 122868, 342409, 950727, 2631165, 7260579, 19982612, 54865566, 150316973, 411015705, 1121818311, 3056773383, 8316416134, 22593883752, 61301547025, 166118284299, 449639574897, 1215751720491, 3283883157848

CROSSREFS

Cf. A000045, A000667, A059216, A059219, A027994, A059512, A059503.

STATUS

approved

editing

#37 by Jon E. Schoenfield at Thu Feb 17 00:12:57 EST 2022

STATUS

editing

approved

#36 by Jon E. Schoenfield at Thu Feb 17 00:12:54 EST 2022

PROG

(MAGMAMagma) [(3*n*Fibonacci(2*n-1)+(3-n)*Fibonacci(2*n))/5: n in [0..100]]; // Vincenzo Librandi, Apr 23 2011

STATUS

approved

editing

#35 by Michael De Vlieger at Wed Jul 14 11:37:09 EDT 2021

STATUS

reviewed

approved

#34 by Joerg Arndt at Wed Jul 14 11:18:49 EDT 2021

STATUS

proposed

reviewed

#33 by Michael De Vlieger at Wed Jul 14 10:10:01 EDT 2021

STATUS

editing

proposed

#32 by Michael De Vlieger at Wed Jul 14 10:09:59 EDT 2021

LINKS

Sergi Elizalde, Rigoberto Flórez, and José Luis Ramírez, <a href="https://doi.org/10.26493/1855-3974.2478.d1b">Enumerating symmetric peaks in non-decreasing Dyck paths</a>, Ars Mathematica Contemporanea (2021).

STATUS

approved

editing

#31 by R. J. Mathar at Tue Apr 09 12:30:39 EDT 2019

STATUS

editing

approved

#30 by R. J. Mathar at Tue Apr 09 12:30:35 EDT 2019

FORMULA

a(n) = A001871(n-1)-3*A001871(n-2)+2*A001871(n-3). - R. J. Mathar, Apr 09 2019

STATUS

approved

editing