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A006395
Number of unsensed planar maps with n edges and without loops or parallel edges.
5
1, 1, 1, 3, 5, 14, 42, 150, 624, 2947, 15079, 82607, 474030, 2816952, 17194524, 107226255
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OFFSET
0,4
COMMENTS
The planar maps considered here are connected. A planar map without loops or parallel edges is called simple.
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Table of n, a(n) for n=0..15.
Timothy R. Walsh,
Generating nonisomorphic maps without storing them
, SIAM J. Algebraic Discrete Methods 4 (1983), no. 2, 161-178.
CROSSREFS
Row sums of
A384850
, antidiagonal sums of
A384963
.
Cf.
A006385
,
A006391
,
A006394
(sensed),
A022558
(rooted),
A372892
(with n vertices).
Sequence in context:
A318227
A363542
A230585
*
A078718
A081393
A338368
Adjacent sequences:
A006392
A006393
A006394
*
A006396
A006397
A006398
KEYWORD
nonn
,
more
AUTHOR
N. J. A. Sloane
EXTENSIONS
a(9)-a(12) from
Sean A. Irvine
, Mar 30 2017
a(0)=1 prepended by
Andrew Howroyd
, Jan 16 2025
a(13)-a(15) added by
Andrew Howroyd
, Jun 15 2025
STATUS
approved