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A371376 Irregular table read by rows: place n equally spaced points around the circumference of a circle and then, for each pair of points, draw two distinct circles, whose radii are the same as the first circle, such that both points lie on their circumferences. T(n,k), k>=2, gives the number of k-sided regions formed.

%I A371376 #10 Jun 02 2025 22:34:50
%S A371376 1,6,3,8,0,1,15,30,5,1,18,30,14,147,35,7,7,1,8,152,48,8,0,0,1,27,351,
%T A371376 171,36,27,10,390,200,10,40,0,0,0,1,22,693,649,33,77,0,0,0,0,1,12,780,
%U A371376 408,0,48,26,1404,1183,234,169,0,0,0,0,0,0,1,14,1498,1274,224,154,14,14,0,0,0,0,0,1
%N A371376 Irregular table read by rows: place n equally spaced points around the circumference of a circle and then, for each pair of points, draw two distinct circles, whose radii are the same as the first circle, such that both points lie on their circumferences. T(n,k), k>=2, gives the number of k-sided regions formed.
%C A371376 See A371373 and A371374 for images of the graphs.
%F A371376 Sum of row(n) = A371374(n).
%e A371376 The table begins:
%e A371376 1;
%e A371376 6, 3;
%e A371376 8, 0, 1;
%e A371376 15, 30, 5, 1;
%e A371376 18, 30;
%e A371376 14, 147, 35, 7, 7, 1;
%e A371376 8, 152, 48, 8, 0, 0, 1;
%e A371376 27, 351, 171, 36, 27;
%e A371376 10, 390, 200, 10, 40, 0, 0, 0, 1;
%e A371376 22, 693, 649, 33, 77, 0, 0, 0, 0, 1;
%e A371376 12, 780, 408, 0, 48;
%e A371376 26, 1404, 1183, 234, 169, 0, 0, 0, 0, 0, 0, 1;
%e A371376 14, 1498, 1274, 224, 154, 14, 14, 0, 0, 0, 0, 0, 1;
%e A371376 45, 2310, 2400, 390, 255, 15;
%e A371376 16, 2736, 2032, 656, 320, 0, 32, 0, 0, 0, 0, 0, 0, 0, 1;
%e A371376 34, 3978, 4097, 969, 493, 17, 34, 0, 0, 0, 0, 0, 0, 0, 0, 1;
%e A371376 18, 4410, 3078, 972, 468, 36, 18;
%e A371376 76, 6365, 6365, 1596, 855, 95, 76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
%e A371376 20, 6840, 6000, 2100, 780, 60, 100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
%e A371376 63, 8946, 10395, 2751, 924, 126, 147;
%e A371376 22, 10076, 9218, 3674, 1166, 22, 132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
%e A371376 46, 13156, 14996, 4347, 1702, 92, 138, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
%e A371376                                                                      \\ 0, 0, 1;
%e A371376 24, 14232, 13296, 4512, 1440, 96, 240;
%e A371376 100, 19075, 19850, 6975, 2675, 150, 175, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
%e A371376                                                                   \\ 0, 0, 0, 1;
%e A371376 .
%e A371376 .
%Y A371376 Cf. A371373 (vertices), A371374 (regions), A371375 (edges), A371377 (vertex crossings), A371274, A331450, A359009, A359061.
%K A371376 nonn,tabf
%O A371376 2,2
%A A371376 _Scott R. Shannon_, Mar 20 2024