The On-Line Encyclopedia of Integer Sequences (OEIS)

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A079227

Number of Catalan objects fixed by six-fold application of the Catalan bijections A057511/A057512 (Deep rotation of general parenthesizations/plane trees).
(history; published version)

#4 by N. J. A. Sloane at Sat Oct 17 08:36:23 EDT 2015

NAME

Number of Catalan objects fixed by six-fold application of the gatomorphisms Catalan bijections A057511/A057512 (Deep rotation of general parenthesizations/plane trees).

Discussion

Sat Oct 17

08:36

OEIS Server: https://oeis.org/edit/global/2470

#3 by Russ Cox at Sat Mar 31 14:02:12 EDT 2012

AUTHOR

_Antti Karttunen (my_firstname.my_surname(AT)iki.fi) _ Jan 03 2002

Discussion

Sat Mar 31

14:02

OEIS Server: https://oeis.org/edit/global/911

#2 by N. J. A. Sloane at Fri Feb 24 03:00:00 EST 2006

FORMULA

a(n) = A079216(n, 6)

KEYWORD

nonn,new

nonn

#1 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

NAME

Number of Catalan objects fixed by six-fold application of the gatomorphisms A057511/A057512 (Deep rotation of general parenthesizations/plane trees).

DATA

1, 1, 2, 5, 14, 38, 111, 332, 1029, 3232, 10374, 33679, 110722, 367252, 1228558, 4138120, 14025473, 47792389, 163643066, 562722427, 1942548520, 6729230281, 23385132060, 81503084084, 284815902739, 997741303308, 3503112067273

OFFSET

0,3

FORMULA

a(n) = A079216(n,6)

MAPLE

A079227 := n -> A079216bi(n, 6);

CROSSREFS

The sixth row of A079216. The leftmost edge of the triangle A079222 and also its row sums shifted by one. Occurs in A073202 as row 170143779648513184865579715159814351615. Cf. A057546, A079223-A079226.

KEYWORD

nonn

AUTHOR

Antti Karttunen (my_firstname.my_surname(AT)iki.fi) Jan 03 2002

STATUS

approved