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 A014267 Number of rooted trees on n nodes with forbidden limbs. 1
 0, 1, 1, 2, 4, 9, 20, 47, 112, 279, 701, 1794, 4636, 12130, 31987, 85062, 227673, 613126, 1659712, 4514249, 12329670, 33804673, 93001852, 256667215, 710381240, 1971312184, 5483656721, 15288227949, 42711458197, 119555284629, 335253287132 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS T. Lu, The enumeration of trees with and without given limbs, Discr. Math., 154 (1996), 153-165, Example 3. FORMULA G.f. (x-x^7-x^8+x^13)/[Product_{p>=1} (1-x^p)^a(p)], implicit form. - R. J. Mathar, Feb 26 2016 MATHEMATICA nmax = 30; b = ConstantArray[0, nmax+1]; b[[1]] = 0; b[[2]] = 1; Do[b[[n+1]] = SeriesCoefficient[(x-x^7-x^8+x^13) / Product[(1 - x^p)^b[[p+1]], {p, 1, n-1}], {x, 0, n}], {n, 2, nmax}]; b (* Vaclav Kotesovec, Feb 28 2016 *) CROSSREFS Sequence in context: A036619 A036620 A036721 * A089405 A091500 A318799 Adjacent sequences: A014264 A014265 A014266 * A014268 A014269 A014270 KEYWORD nonn AUTHOR STATUS approved

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Last modified January 30 02:26 EST 2023. Contains 359939 sequences. (Running on oeis4.)