A355949 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..47.

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

Adjacent sequences: A355946 A355947 A355948 * A355950 A355951 A355952

KEYWORD

nonn

AUTHOR

Scott R. Shannon, Jul 21 2022

STATUS

approved