A331765 Number of edges formed by drawing the lines connecting any two of the 2*(n+2) perimeter points of a 3 X (n+1) rectangular grid of points (or equally, a 2 X n grid of squares).

28, 92, 240, 508, 944, 1548, 2520, 3754, 5392, 7528, 10296, 13570, 17844, 22768, 28584, 35704, 44048, 53380, 64728, 77292, 91500, 107828, 126408, 146772, 170080, 195580, 223764, 255010, 289792, 326996, 369320, 414908, 463880, 517724, 575404, 637530, 706172

Offset

1,1

Comments

Triangles A331452, A331453, A331454 do not have formulas, except for column 1. The column 2 sequences, A331763, A331765, A331766, are therefore the next ones to attack.

See A331452 for other illustrations.

Links

Lars Blomberg, Table of n, a(n) for n = 1..100

Scott R. Shannon, Colored illustration for a(3) = 240.

Scott R. Shannon, Data specifically for nX2 (or 2Xn) rectangles

N. J. A. Sloane (in collaboration with Scott R. Shannon), Art and Sequences, Slides of guest lecture in Math 640, Rutgers Univ., Feb 8, 2020. Mentions this sequence.

Crossrefs

Column 2 of A331454.

Cf. A331763, A331766.

Sequence in context: A219815 A044215 A044596 * A333280 A192256 A005971

Adjacent sequences: A331762 A331763 A331764 * A331766 A331767 A331768

Keyword

nonn

Author

Scott R. Shannon and N. J. A. Sloane, Feb 05 2020

Extensions

More terms from Scott R. Shannon, Mar 11 2020

a(21) and beyond from Lars Blomberg, Apr 28 2020

Status

approved