

A212438


Irregular triangle read by rows: T(n,k) (n >= 4, k=4..2n4) = number of polyhedra with n faces and k vertices.


5



1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 8, 11, 8, 5, 0, 0, 2, 11, 42, 74, 76, 38, 14, 0, 0, 0, 8, 74, 296, 633, 768, 558, 219, 50, 0, 0, 0, 5, 76, 633, 2635, 6134, 8822, 7916, 4442, 1404, 233
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OFFSET

4,7


COMMENTS

Because of duality, T(n,k) = T(k,n).  Ivan Neretin, May 25 2016


LINKS

Table of n, a(n) for n=4..52.


EXAMPLE

Triangle begins:
1
0 1 1
0 1 2 2 2
0 0 2 8 11 8 5
0 0 2 11 42 74 76 38 14
0 0 0 8 74 296 633 768 558 219 50
0 0 0 5 76 633 2635 6134 8822 7916 4442 1404 233
...


CROSSREFS

A049337, A058787, A212438 are all versions of the same triangle.
Row sums (the same as column sums) are A000944.
Main diagonal is A002856.
Sequence in context: A181676 A262048 A034852 * A112790 A329922 A179835
Adjacent sequences: A212435 A212436 A212437 * A212439 A212440 A212441


KEYWORD

nonn,tabf


AUTHOR

N. J. A. Sloane, May 16 2012


STATUS

approved



