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Revision History for A305839 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

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Number of unlabeled forests of rooted trees with 2n edges and n connected components, in which the outdegree of each node is <= 2 and the symmetric group acts on the components.
(history; published version)
#7 by Alois P. Heinz at Mon Jun 11 14:29:04 EDT 2018
STATUS

editing

approved

#6 by Alois P. Heinz at Mon Jun 11 14:28:23 EDT 2018
LINKS

Alois P. Heinz, <a href="/A305839/b305839.txt">Table of n, a(n) for n = 0..400</a>

#5 by Alois P. Heinz at Mon Jun 11 10:17:27 EDT 2018
NAME

a

Number of unlabeled forests of rooted trees with 2n edges and n connected components, in which the outdegree of each node is <= 2 and the symmetric group acts on the components.

#4 by Alois P. Heinz at Mon Jun 11 10:11:56 EDT 2018
FORMULA

a(n) = A088326(2n,n) = A088326(2n+k,n+k) for k >= 0.

#3 by Alois P. Heinz at Mon Jun 11 10:09:22 EDT 2018
FORMULA

a(n) = A088326(2n+1,,n+1).

#2 by Alois P. Heinz at Mon Jun 11 09:57:11 EDT 2018
NAME

allocated for Alois P. Heinz

a

DATA

1, 1, 3, 6, 15, 32, 77, 172, 405, 930, 2180, 5070, 11914, 27929, 65829, 155202, 367053, 868990, 2061723, 4897502, 11652547, 27757960, 66210042, 158103242, 377957299, 904439542, 2166408422, 5193894809, 12463003846, 29929966312, 71933014935, 173009938416

OFFSET

0,3

FORMULA

a(n) = A088326(2n+1,n+1).

CROSSREFS

Cf. A088326.

KEYWORD

allocated

nonn

AUTHOR

Alois P. Heinz, Jun 11 2018

STATUS

approved

editing

#1 by Alois P. Heinz at Mon Jun 11 09:57:11 EDT 2018
NAME

allocated for Alois P. Heinz

KEYWORD

allocated

STATUS

approved