The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A362235

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Number of edges among all distinct circles that can be constructed from a point on the origin and n equally spaced points on each of the +x,-x,+y,-y coordinates axes when each pair of points is connected by a circle and where the points lie at the ends of the circles' diameter.
(history; published version)

#6 by N. J. A. Sloane at Fri Apr 14 07:32:50 EDT 2023

STATUS

proposed

approved

#5 by Scott R. Shannon at Fri Apr 14 04:18:01 EDT 2023

STATUS

editing

proposed

#4 by Scott R. Shannon at Fri Apr 14 02:04:41 EDT 2023

DATA

48, 620, 3184, 10516, 27240, 57676, 109880, 189436, 307200, 474820, 703880

Discussion

Fri Apr 14

04:18

Scott R. Shannon: Submitting A362233,A362234,A362235,A362236 together.

#3 by Scott R. Shannon at Thu Apr 13 08:51:46 EDT 2023

COMMENTS

See A362233 and A362234 for images of the circles.

#2 by Scott R. Shannon at Thu Apr 13 08:35:35 EDT 2023

NAME

allocated for Scott R. Shannon

Number of edges among all distinct circles that can be constructed from a point on the origin and n equally spaced points on each of the +x,-x,+y,-y coordinates axes when each pair of points is connected by a circle and where the points lie at the ends of the circles' diameter.

DATA

48, 620, 3184, 10516, 27240, 57676, 109880, 189436, 307200, 474820

OFFSET

1,1

COMMENTS

A circle is constructed for every pair of the 1 + 4n points, the two points lying at the ends of a diameter of the circle. The number of distinct circles constructed from the points is A139275(n).

No formula for a(n) is currently known.

FORMULA

a(n) = A362234(n) + A362233(n) - 1 by Euler's formula.

CROSSREFS

Cf. A362233 (vertices), A362234 (regions), A362236 (k-gons), A139275 (distinct circles), A356358, A359934.

KEYWORD

allocated

nonn,more

AUTHOR

Scott R. Shannon, Apr 13 2023

STATUS

approved

editing

#1 by Scott R. Shannon at Wed Apr 12 06:14:37 EDT 2023

NAME

allocated for Scott R. Shannon

KEYWORD

allocated

STATUS

approved