

A307356


a(n) is the numbers of 2's in row n of triangle A307239.


2



0, 0, 1, 0, 2, 2, 3, 0, 2, 0, 2, 2, 8, 6, 5, 0, 2, 2, 7, 8, 13, 12, 13, 8, 9, 6, 11, 8, 11, 8, 7, 0, 4, 2, 7, 10, 21, 20, 29, 24, 25, 22, 27, 24, 27, 24, 23, 16, 19, 14, 17, 20, 27, 28, 35, 24, 23, 22, 25, 22, 25, 16, 13, 0, 6, 12, 23, 32, 43, 44, 57, 56, 57
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OFFSET

0,5


LINKS



FORMULA

a(2^k  1) = 0 for any k >= 0.


EXAMPLE

The first terms, alongside the corresponding rows in A307239, are:
  
0 0 1
1 0 1 1
2 1 1 2 1
3 0 1 3 3 1
4 2 1 2 6 2 1
5 2 1 3 2 2 3 1
6 3 1 2 5 2 5 2 1
7 0 1 3 7 7 7 7 3 1
8 2 1 2 10 14 14 14 10 2 1
9 0 1 3 6 6 14 14 6 6 3 1
10 2 1 2 3 6 10 14 10 6 3 2 1


PROG

(PARI) rad(n) = my (p=factor(n)[, 1]~); prod(i=1, #p, p[i])
{ for (r=0, 72, row = vector(r+1, k, if ( k==1k==r+1, 1, rad(row[k1]+row[k]))); print1 (sum(k=1, r+1, row[k]==2) ", ")) }


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



