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 A290868 a(n) is the number of fixed tree polycubes of size n that are proper in n-5 dimensions. 0
 0, 1, 568, 116004, 15998985, 1839569920, 194498568156, 19903875199488, 2028587719434848, 209368404017676288, 22100537701746000000, 2400300773277150740480, 269182253907724040230656, 31234215889947671471849472, 3753858472917234012947022848, 467486957946431078400000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 5,3 COMMENTS Denoted DT(n,n-5). LINKS Table of n, a(n) for n=5..20. G. Barequet and M. Shalah, Counting n-cell polycubes proper in n-k dimensions, European Journal of Combinatorics, 63 (2017), 146-163. G. Barequet and M. Shalah, Automatic Proofs for Formulae Enumerating Proper Polycubes, In Proceedings of the 8th European Conference on Combinatorics, Graph Theory and Applications, 49 (2015), 145-151, 2015. G. Barequet and M. Shalah, Automatic Proofs for Formulae Enumerating Proper Polycubes, In Video Review at the 31st Symposium on Computational Geometry, 19-22, 2015. M. Shalah, Automatic Proofs for Formulae Enumerating Proper Polycubes, Youtube, 2015. FORMULA a(n) = 2^(n-9)*n^(n-11)*(n-5)*(240*n^11 - 6480*n^10 + 73640*n^9 - 461232*n^8 + 1778615*n^7 - 4707195*n^6 + 11632070*n^5 - 41919528*n^4 + 158857920*n^3 - 483329520*n^2 + 1481660640*n - 2863123200)/360. (proved) CROSSREFS A290738 gives the total number of fixed n-cell polycubes (not necessarily trees) that are proper in n-5 dimensions. Sequence in context: A234228 A184682 A223164 * A214140 A192822 A356443 Adjacent sequences: A290865 A290866 A290867 * A290869 A290870 A290871 KEYWORD nonn AUTHOR Mira Shalah, Aug 12 2017 STATUS approved

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Last modified December 5 05:01 EST 2023. Contains 367575 sequences. (Running on oeis4.)