OFFSET
1,2
EXAMPLE
Triangle starts:
[n] [k=1,2,...] row sum
[1] [1] 1
[2] [2, 2] 4
[3] [4, 2, 6] 12
[4] [8, 6, 6, 16] 36
[5] [17, 10, 12, 16, 45] 100
[6] [37, 24, 30, 32, 45, 120] 288
[7] [85, 50, 60, 64, 90, 120, 336] 805
[8] [200, 120, 132, 160, 180, 240, 336, 920] 2288
[9] [486, 280, 318, 336, 405, 480, 672, 920, 2574] 6471
PROG
(Sage)
@cached_function
def t():
n = 1
b = [0, 1]
while True:
S = [k*sum(b[k]*b[n-k*m+1] for m in (1..n//k)) for k in (1..n)]
b.append(sum(S)//n)
yield S
n += 1
t_list = t()
for n in (1..8): print(next(t_list))
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Aug 18 2016
STATUS
approved