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A367277
Place n equally spaced points on each side of a square, and join each of these points by a chord to the 3*n new points on the other three sides: sequence gives number of interior vertices in the resulting planar graph.
5
0, 1, 57, 329, 1317, 2861, 7417, 12801, 23329, 36549, 64625, 80085, 138261, 176829, 233705, 311949, 455205, 513205, 741889, 819509, 1046161, 1310673, 1692869, 1772001, 2315189, 2713893, 3165017, 3552641, 4538729, 4602865, 6015437, 6432553, 7421213, 8550349, 9439481, 10063849, 12635621
OFFSET
0,3
COMMENTS
See A367276 for further information.
LINKS
Scott R. Shannon, Image for n = 1.
Scott R. Shannon, Image for n = 2.
Scott R. Shannon, Image for n = 3.
Scott R. Shannon, Image for n = 4.
Scott R. Shannon, Image for n = 5.
Scott R. Shannon, Image for n = 10.
FORMULA
a(n) = A367279(n) - A367278(n) - 4*n - 3 (Euler).
CROSSREFS
Cf. A367276 (interior), A367278 (regions), A367279 (edges).
Sequence in context: A048422 A157651 A251263 * A371515 A043399 A038482
KEYWORD
nonn
AUTHOR
Scott R. Shannon, Nov 11 2023
STATUS
approved