A165992 Triangle read by rows: T(n,0) = 3^n, T(n,k) = T(n,k-1) + T(n-1,k) for 0 < k < n, and T(n,n) = T(n,n-1).

1, 3, 3, 9, 12, 12, 27, 39, 51, 51, 81, 120, 171, 222, 222, 243, 363, 534, 756, 978, 978, 729, 1092, 1626, 2382, 3360, 4338, 4338, 2187, 3279, 4905, 7287, 10647, 14985, 19323, 19323, 6561, 9840, 14745, 22032, 32679, 47664, 66987, 86310, 86310, 19683

Offset: 0

Author

Gerald McGarvey, Oct 03 2009

Keywords

• nonn
• tabl

Crossrefs

A007854 (main diagonal)

Programs

PARI

s=10;M=matrix(s,s);for(n=1,s,M[n,1]=3^(n-1)); for(n=2,s,for(k=2,n,M[n,k]=M[n,k-1]+M[n-1,k])); for(n=1,10,for(k=1,n,print1(M[n,k],", ")))