

A370980


If n is even, (n^22*n+2)/2, otherwise (n^2n+2)/2.


6



1, 1, 1, 4, 5, 11, 13, 22, 25, 37, 41, 56, 61, 79, 85, 106, 113, 137, 145, 172, 181, 211, 221, 254, 265, 301, 313, 352, 365, 407, 421, 466, 481, 529, 545, 596, 613, 667, 685, 742, 761, 821, 841, 904, 925, 991, 1013, 1082, 1105, 1177, 1201, 1276, 1301, 1379, 1405, 1486, 1513, 1597, 1625, 1712, 1741, 1831, 1861, 1954
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OFFSET

0,4


COMMENTS

Total number of circles in A371373 and A371253, if in the later all the circular arcs are completed to form full circles.
The sequence also gives the number of vertices created from circle intersections when a circle of radius r is drawn around each of n equally spaced points on the circumference of a circle of radius r. The number of regions in these constructions is A093005(n) and the number of edges is A183207(n). See the attached images.  Scott R. Shannon, Jul 06 2024.


LINKS

Scott R. Shannon, Image for n = 3. In this and other images the center of each circle of shown as a white dot.


FORMULA



EXAMPLE



PROG

(Python)


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



