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A264151 Row sums of A179455. 2
1, 1, 3, 12, 63, 398, 2911, 24177, 224824, 2313892, 26107679, 320412404, 4249353369, 60561549764, 923107802463, 14985538729504, 258138422935578, 4702896016961154, 90350619640638353, 1825564783445799571, 38700814850328413380, 858915876402686598209, 19916917035087719607321 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..447

Swapnil Garg, Alan Peng, Classical and consecutive pattern avoidance in rooted forests, arXiv:2005.08889 [math.CO], May 2020.

Peter Luschny, Permutation Trees

FORMULA

a(n) = Sum_{k=0..n} (n-k+1)*A179454(n,k), where A179454(n,k) is read as a (0,0)-based table with an additional column (1,0,0,0,...) at the left hand side.

EXAMPLE

a(4) = 5*0 + 4*1 + 3*14 + 2*8 + 1*1 = 63.

PROG

(Sage) # uses[bell_transform from A264428]

def A264151_list(len):

    b = [1]+[0]*(len-1); L = [b]

    for k in range(len):

        b = [sum((bell_transform(n, b))) for n in range(len)]

        L.append(b)

    return [sum(L[k][n] for k in (0..n)) for n in range(len)]

print(A264151_list(10))

CROSSREFS

Cf. A179454, A179455, A264428.

Sequence in context: A020123 A307708 A308206 * A186186 A238887 A135889

Adjacent sequences:  A264148 A264149 A264150 * A264152 A264153 A264154

KEYWORD

nonn

AUTHOR

Peter Luschny, Dec 06 2015

STATUS

approved

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Last modified August 2 17:49 EDT 2021. Contains 346428 sequences. (Running on oeis4.)