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A355949
Number of vertices formed in a square by straight line segments when connecting the four corner vertices to the points dividing the sides into n equal parts.
6
5, 25, 81, 157, 301, 381, 665, 821, 1109, 1353, 1825, 1861, 2621, 2881, 3285, 3813, 4645, 4773, 5873, 5953, 6821, 7665, 8761, 8613, 10165, 10921, 11777, 12337, 14173, 13717, 16265, 16581, 17861, 19161, 20093, 20461, 23405, 24145, 25305, 25701, 28885, 28433, 31841, 32077, 33269, 35841, 38185
OFFSET
1,1
LINKS
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 = 6.
Scott R. Shannon, Image for n = 11.
FORMULA
a(n) = A355948(n) - A108914(n) + 1 by Euler's formula.
CROSSREFS
Cf. A108914 (regions), A355948 (edges), A355992 (k-gons), A355839, A331452, A335678.
Sequence in context: A062989 A122679 A264132 * A147114 A296669 A131537
KEYWORD
nonn
AUTHOR
Scott R. Shannon, Jul 21 2022
STATUS
approved