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A038086 Number of n-node rooted identity trees of height at most 7. 3
1, 1, 1, 2, 3, 6, 12, 25, 51, 105, 211, 421, 832, 1641, 3224, 6328, 12382, 24200, 47197, 91915, 178683, 346897, 672443, 1301850, 2517078, 4860938, 9376300, 18066270, 34772627, 66859667, 128427832, 246456677, 472519632, 905131358 (list; graph; refs; listen; history; internal format)
OFFSET

1,4

COMMENTS

The number of terms is a number that is too large to write down!

LINKS

N. J. A. Sloane, Transforms

Index entries for sequences related to rooted trees

FORMULA

Take Weigh transform of A038085 and shift right.

MAPLE

weigh:= proc (p) proc(n) local x, k; coeff (series (mul ((1+x^k)^p(k), k=1..n), x, n+1), x, n) end end: wsh:= p-> n-> weigh(p)(n-1): a:= (wsh@@4) (n-> `if`(n>0 and n<12, [1$3, 2$5, 1$3][n], 0)): seq (a(n), n=1..34); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 10 2008]

CROSSREFS

Cf. A038081-A038093.

Sequence in context: A119559 A045761 A077903 * A032305 A032218 A005829

Adjacent sequences:  A038083 A038084 A038085 * A038087 A038088 A038089

KEYWORD

nonn,fini

AUTHOR

Christian G. Bower (bowerc(AT)usa.net), Jan 04 1999.

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Last modified February 16 20:28 EST 2012. Contains 205962 sequences.