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 A000306 Number of trees of diameter 8. (Formerly M3552 N1440) 3
 1, 4, 19, 66, 219, 645, 1813, 4802, 12265, 30198, 72396, 169231, 387707, 871989, 1930868, 4215615, 9091410, 19389327, 40944999, 85691893, 177898521, 366614456, 750494796, 1526979694, 3089556090, 6219191608, 12460307373, 24856533408, 49387348955, 97765283686, 192870793594, 379287172272 (list; graph; refs; listen; history; text; internal format)
 OFFSET 9,2 REFERENCES N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Christian Sievers, Table of n, a(n) for n = 9..4442 J. Riordan, Enumeration of trees by height and diameter, IBM J. Res. Dev. 4 (1960), 473-478. Index entries for sequences related to trees PROG (PARI) sh_euler(p)={my(m=serprec(p, x)-1); x*exp(sum(i=1, m, subst(p+O(x^(1+m\i)), x, x^i)/i))} lista(n)={my(s2=sh_euler(sh_euler(x+O(x*x^n))), s3=sh_euler(s2), s4=sh_euler(s3), r3=s3-s2, r4=s4-s3, t8=r4-r3*s3); Vec(t8)} \\ Christian Sievers, May 18 2023 CROSSREFS Cf. A034853. Sequence in context: A098813 A212039 A055485 * A100185 A357251 A291888 Adjacent sequences: A000303 A000304 A000305 * A000307 A000308 A000309 KEYWORD nonn AUTHOR N. J. A. Sloane EXTENSIONS More terms from Christian Sievers, May 18 2023 STATUS approved

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)