id:A014167 - OEIS Search Results

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Partial sums of binary rooted tree numbers.

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1, 2, 4, 7, 12, 21, 37, 65, 115, 204, 363, 648, 1158, 2072, 3711, 6649, 11918, 21369, 38321, 68731, 123286, 221157, 396743, 711759, 1276927, 2290903, 4110101, 7373976, 13229809 (list; graph; listen)

	OFFSET	`1,2`
	LINKS	`Index entries for sequences related to rooted trees`
	FORMULA	`G.f.: (B(x)-x)/x(1-x) where B(x) is g.f. of A002572.`
	MAPLE	`v:= proc(c, d) option remember; if d<0 or c<0 then 0 elif d=c then 1 else add (v(i, d-c), i=1..2*c) fi end: a:= proc(n) option remember; if n=0 then 0 else a(n-1) +v(1, n) fi end: seq (a(n), n=1..29); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Aug 22 2008]`
	CROSSREFS	`Cf. A002572.` `Sequence in context: A094974 A100671 A005251 this_sequence A103197 A000709 A054161` `Adjacent sequences: A014164 A014165 A014166 this_sequence A014168 A014169 A014170`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.

AT&T Labs Research