The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A120803 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A120803

Number of series-reduced balanced trees with n leaves.
(history; published version)

#14 by N. J. A. Sloane at Fri Oct 26 00:51:31 EDT 2018

STATUS

proposed

approved

#13 by Andrew Howroyd at Fri Oct 26 00:46:20 EDT 2018

STATUS

editing

proposed

#12 by Andrew Howroyd at Fri Oct 26 00:45:31 EDT 2018

PROG

(PARI) EulerT(v)={Vec(exp(x*Ser(dirmul(v, vector(#v, n, 1/n))))-1, -#v)}

seq(n)={my(u=vector(n), v=vector(n)); u[1]=1; while(u, v+=u; u=EulerT(u)-u); v} \\ Andrew Howroyd, Oct 26 2018

STATUS

approved

editing

#11 by Bruno Berselli at Mon Oct 08 11:00:52 EDT 2018

STATUS

reviewed

approved

#10 by Joerg Arndt at Mon Oct 08 10:42:34 EDT 2018

STATUS

proposed

reviewed

#9 by Gus Wiseman at Mon Oct 08 10:40:58 EDT 2018

STATUS

editing

proposed

#8 by Gus Wiseman at Mon Oct 08 03:18:02 EDT 2018

CROSSREFS

Cf. A000081, A000669, A001003, A001678, A007059, A048816, A079500, A119262, A244925, A316624, A320154, A320160, A316624, A320169, A320179.

#7 by Gus Wiseman at Sun Oct 07 15:24:41 EDT 2018

CROSSREFS

Cf. A119262, A007059, A000081, A000669, A001003, A001678, A007059, A048816, A079500, A119262, A244925, A320154, A320160, A316624, A320169, A320179.

Cf. A000081, A001678, A048816, A079500, A244925, A320154, A320160, A316624, A320169, A320179.

#6 by Gus Wiseman at Sun Oct 07 15:23:39 EDT 2018

EXAMPLE

From Gus Wiseman, Oct 07 2018: (Start)

The a(10) = 16 series-reduced balanced rooted trees:

(oooooooooo)

((ooooo)(ooooo))

((oooo)(oooooo))

((ooo)(ooooooo))

((oo)(oooooooo))

((ooo)(ooo)(oooo))

((oo)(oooo)(oooo))

((oo)(ooo)(ooooo))

((oo)(oo)(oooooo))

((oo)(oo)(ooo)(ooo))

((oo)(oo)(oo)(oooo))

((oo)(oo)(oo)(oo)(oo))

(((oo)(ooo))((oo)(ooo)))

(((oo)(oo))((ooo)(ooo)))

(((oo)(oo))((oo)(oooo)))

(((oo)(oo))((oo)(oo)(oo)))

(End)

CROSSREFS

Cf. A000081, A001678, A048816, A079500, A244925, A320154, A320160, A316624, A320169, A320179.

STATUS

approved

editing

#5 by Alois P. Heinz at Fri Jan 29 21:42:40 EST 2016

STATUS

editing

approved