A377785
Number of n-node connected unsensed planar maps with an external face in which all internal faces are triangles.
Original entry on oeis.org
1, 2, 5, 19, 80, 407, 2403, 15570, 107366, 773660, 5746826, 43693041, 338367370, 2660629311, 21193182914, 170714892489, 1388711749891, 11395477091396, 94238431709661, 784796579069288, 6576997589788217, 55435506835745851, 469698698872829672, 3998806331800289798
Offset: 3
A378339
Number of n-node connected achiral planar maps with an external face in which all internal faces are triangles.
Original entry on oeis.org
1, 2, 5, 15, 46, 139, 449, 1448, 4799, 15971, 54107, 184048, 633365, 2188644, 7624153, 26659774, 93772014, 330946542, 1173233805, 4171572088, 14884905583, 53249784377, 191043396323, 686956509123, 2476044740337, 8942288625630, 32360306616473, 117309644377341
Offset: 3
A378336
Triangle read by rows: T(n,k) is the number of n node connected sensed planar maps with an external face and k triangular internal faces, n >= 3, 1 <= k <= 2*n - 5.
Original entry on oeis.org
1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 5, 5, 6, 5, 0, 0, 2, 8, 13, 20, 21, 26, 24, 0, 0, 0, 10, 28, 55, 79, 104, 119, 147, 133, 0, 0, 0, 7, 45, 126, 230, 360, 491, 625, 735, 892, 846, 0, 0, 0, 0, 44, 227, 561, 1066, 1682, 2430, 3241, 4074, 4830, 5876, 5661
Offset: 3
Triangle begins:
n\k | 1 2 3 4 5 6 7 8 9 10 11 12 13
----+----------------------------------------------------------
3 | 1;
4 | 0, 1, 1;
5 | 0, 1, 1, 2, 1;
6 | 0, 0, 2, 5, 5, 6, 5;
7 | 0, 0, 2, 8, 13, 20, 21, 26, 24;
8 | 0, 0, 0, 10, 28, 55, 79, 104, 119, 147, 133;
9 | 0, 0, 0, 7, 45, 126, 230, 360, 491, 625, 735, 892, 846;
...
A378338
Number of n edge connected sensed planar maps with an external face in which all internal faces are triangles.
Original entry on oeis.org
1, 0, 1, 2, 1, 4, 8, 13, 29, 60, 121, 275, 604, 1332, 3035, 6866, 15623, 36110, 83421, 193114, 451851, 1057860, 2482062, 5864466, 13873957, 32891337, 78352991, 186929542, 446870480, 1071922233, 2575310764, 6198621655, 14957681872, 36148936396, 87506326488, 212249136940, 515546059746, 1254062268245
Offset: 3
A378337
Number of connected sensed planar maps with an external face and n internal triangular faces.
Original entry on oeis.org
1, 2, 6, 32, 155, 1043, 7083, 51983, 393064, 3069809, 24522342, 199837021, 1655355627, 13907476161, 118275808160, 1016657106858, 8821284816805, 77181267608093, 680346219098844, 6037537131435871, 53904120217352519, 483921982054548241, 4366269495618350828, 39577142154691122910
Offset: 1
A378334
Number of n-node connected sensed planar maps with an external face, whose internal faces are triangles and which is rooted at a node on the external face.
Original entry on oeis.org
1, 3, 16, 88, 537, 3473, 23562, 165859, 1202919, 8941118, 67836666, 523722889, 4104244351, 32583588994, 261635413752, 2122002356439, 17364496928654, 143230857011191, 1189928600338968, 9949848535116510, 83688384576105358, 707689149415139246, 6013842677410501394
Offset: 3
The a(4) = 3 rooted planar maps are:
R---o R---o R-----o
| \ | | / | | \ / |
o---o o---o \ o /
\|/
o
Showing 1-6 of 6 results.
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