A006388
Number of sensed planar maps with n edges and without faces of degree 1.
Original entry on oeis.org
1, 1, 2, 6, 18, 74, 393, 2282, 14700, 99614, 703519, 5123598, 38279496
Offset: 0
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
A006389
Number of unsensed planar maps with n edges and without faces of degree 1.
Original entry on oeis.org
1, 1, 2, 6, 18, 68, 313, 1592, 9187, 57451, 384450, 2703970, 19769311
Offset: 0
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
A379434
Number of rooted planar maps with n edges and without faces of degree 1 or 2.
Original entry on oeis.org
1, 0, 2, 9, 47, 278, 1720, 11175, 75149, 519852
Offset: 0
A379435
Number of rooted planar maps with n edges and without faces or vertices of degree 1.
Original entry on oeis.org
1, 0, 1, 2, 10, 52, 281, 1570, 9022, 53084, 318634, 1945396, 12052532, 75624616, 479814937, 3074251682, 19869323638, 129420288076, 848897059790, 5603350613308, 37198680816844, 248241480270680, 1664546969372554, 11210468046615412, 75806810042727980, 514537522249147672
Offset: 0
A380364
Number of rooted combinatorial maps with n edges and without faces of degree 1.
Original entry on oeis.org
1, 1, 4, 30, 284, 3240, 43282, 662760, 11446844, 220193310, 4669558564, 108251161920, 2723857695362, 73941952968000, 2154117314613604, 67038931862069790, 2219781607638887804, 77922680046440538600, 2890682855602209593362, 112998995448368143038120, 4642614436461699746566364
Offset: 0
-
seq(n)={my(A=O(x^(2*n+1)), g=serconvol(exp(x^2/2 + A),exp(-x + A)/(1-x))); Vec(substpol(1 + x*deriv(log(serlaplace(g))), x^2, x))}
A379436
Number of rooted simple planar maps without vertices of degree 1.
Original entry on oeis.org
1, 0, 0, 1, 1, 6, 22, 92, 395, 1753
Offset: 0
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