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A011828
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Number of f-vectors for simplicial complexes of dimension at most 3 on at most n-1 vertices.
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3
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2, 3, 5, 10, 26, 95, 457, 2246, 9705, 35926, 115688, 331201, 859587, 2054860, 4582126, 9627831, 19217260, 36679253, 67308375, 119286676, 204940824, 342425909, 557944719, 888630900, 1386246251, 2121866592, 3191757298
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| D. E. Knuth, The Art of Computer Programming, vol. 4A, Combinatorial Algorithms, Section 7.2.1.3 (p. 743).
S. Linusson, The number of M-sequences and f-vectors, Combinatorica, 19 (1999), 255-266.
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FORMULA
| a(n+1) = (12*n^10 -112*n^9 +351*n^8 -132*n^7 +378*n^6 -2856*n^5 +4839*n^4 +56812*n^3 -5580*n^2 +309168*n +725760)/362880 fits terms up to 3191757298. [Frank Ellermann (hmdmhdfmhdjmzdtjmzdtzktdkztdjz(AT)gmail.com)]
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CROSSREFS
| Cf. A011827, A007695.
Sequence in context: A011827 A135961 A173253 * A011829 A011830 A011831
Adjacent sequences: A011825 A011826 A011827 * A011829 A011830 A011831
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KEYWORD
| nonn
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AUTHOR
| Svante Linusson (linusson(AT)math.kth.se)
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