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A000251
Number of trees of diameter 6.
(Formerly M2887 N1158)
3
1, 3, 11, 29, 74, 167, 367, 755, 1515, 2931, 5551, 10263, 18677, 33409, 59024, 102984, 177915, 304458, 516939, 871180, 1458882, 2428548, 4021670, 6627515, 10874462, 17770474, 28932739, 46943967, 75925797, 122433291, 196879385, 315759282, 505168033, 806290796, 1284034606, 2040485004, 3235965074, 5121801962, 8091411114, 12759606939, 20085832527, 31565046053, 49523414558, 77575278933, 121329065354, 189475663960, 295465391518, 460087656595, 715436020515, 1110994054004
OFFSET
7,2
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).
PROG
(PARI) \\ sh_euler is shifted Euler transform.
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(s0=x + O(x*x^n), s1=sh_euler(s0), s2=sh_euler(s1), s3=sh_euler(s2), r2=s2-s1, r3=s3-s2, t6=r3-r2*s2); Vec(t6)} \\ Christian Sievers, May 18 2023
CROSSREFS
Cf. A034853, A000550 (diameter 7).
Sequence in context: A188475 A072610 A110954 * A159229 A239713 A122023
KEYWORD
nonn
EXTENSIONS
More terms from Sean A. Irvine, Nov 21 2010
STATUS
approved