STATUS
proposed
approved
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Revision History for A342985
(Bold, blue-underlined text is an addition; faded, red-underlined text is aShowing entries 1-10 | older changes
Triangle read by rows: T(n,k) is the number of tree-rooted loopless planar maps with n edges, k faces and no isthmuses, n >= 0, k = 1..n+1.
(history; published version)
(history; published version)
STATUS
editing
proposed
LINKS
Andrew Howroyd, <a href="/A342985/b342985.txt">Table of n, a(n) for n = 0..1325</a> (rows 0..50)
T. R. S. Walsh, and A. B. Lehman, <a href="http://dx.doi.org/10.1016/0095-8956(75)90050-7">Counting rooted maps by genus. III: Nonseparable maps</a>, J. Combinatorial Theory Ser. B 18 (1975), 222-259, Table VIIIa.
PROG
H(n)={my(g=G(n, y)-x*(1+y), p=O(1)); while(serprec(p, x)<=n, p = subst(g, x, x*p^2)); my(v=Vec(psqrt(serreverse(x/g^2)/x))); vector(#v, n, Vecrev(v[n], n))}
STATUS
approved
editing
STATUS
proposed
approved
STATUS
editing
proposed
EXAMPLE
0, 8, 1568, 28400, 72676, 73700, 28400, 1568, 8, 0;
DATA
1, 0, 0, 0, 2, 0, 0, 3, 3, 0, 0, 4, 36, 4, 0, 0, 5, 135, 135, 5, 0, 0, 6, 360, 1368, 360, 6, 0, 0, 7, 798, 7350, 7350, 798, 7, 0, 0, 8, 1568, 28400, 72676, 73700, 28400, 1568, 8, 0, 0, 9, 2826, 89073, 466140, 466140, 474588, 474588, 89073, 2826, 9, 0, 0, 10, 4770, 241220, 2252534, 4671020, 2252534, 2292790, 4818092, 2292790, 241220, 4770, 10, 0
STATUS
approved
editing
STATUS
proposed
approved
STATUS
editing
proposed
PROG
H(n)={my(g=G(n, y)-x*(1+y), p=O(x1)); while(serprec(p, x)<=n, p = subst(g, x, x*p^2)); my(v=Vec(p)); vector(#v, n, Vecrev(v[n], n))}