This site is supported by donations to The OEIS Foundation.

The October issue of the Notices of the Amer. Math. Soc. has an article about the OEIS.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A292085 Number A(n,k) of (unlabeled) rooted trees with n leaf nodes and without unary nodes or outdegrees larger than k; square array A(n,k), n>=0, k>=0, read by antidiagonals. 12
 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 4, 3, 0, 1, 1, 2, 5, 9, 6, 0, 1, 1, 2, 5, 11, 23, 11, 0, 1, 1, 2, 5, 12, 30, 58, 23, 0, 1, 1, 2, 5, 12, 32, 80, 156, 46, 0, 1, 1, 2, 5, 12, 33, 87, 228, 426, 98, 0, 1, 1, 2, 5, 12, 33, 89, 251, 656, 1194, 207, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,13 LINKS Alois P. Heinz, Antidiagonals n = 1..141, flattened FORMULA A(n,k) = Sum_{j=1..k} A292086(n,j). EXAMPLE :               T(4,3) = 4             : :                                      : :       o       o         o       o    : :      / \     / \       / \     /|\   : :     o   N   o   o     o   N   o N N  : :    / \     ( ) ( )   /|\     ( )     : :   o   N    N N N N  N N N    N N     : :  ( )                                 : :  N N                                 : :                                      : Square array A(n,k) begins:   1,  1,   1,   1,   1,   1,   1,   1, ...   0,  1,   1,   1,   1,   1,   1,   1, ...   0,  1,   2,   2,   2,   2,   2,   2, ...   0,  2,   4,   5,   5,   5,   5,   5, ...   0,  3,   9,  11,  12,  12,  12,  12, ...   0,  6,  23,  30,  32,  33,  33,  33, ...   0, 11,  58,  80,  87,  89,  90,  90, ...   0, 23, 156, 228, 251, 258, 260, 261, ... MAPLE b:= proc(n, i, v, k) option remember; `if`(n=0,       `if`(v=0, 1, 0), `if`(i<1 or v<1 or n

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 24 16:53 EDT 2018. Contains 315347 sequences. (Running on oeis4.)