0,2

Triangle A078122 shifts left one column under matrix cube and is related to partitions into powers of 3.

(PARI) {a(n)=local(p=5, q=3, A=Mat(1), B); for(m=1, n+1, B=matrix(m, m); for(i=1, m, for(j=1, i, if(j==i|j==1, B[i, j]=1, B[i, j]=(A^q)[i-1, j-1]); )); A=B); return(sum(c=0, n, (A^p)[n+1, c+1]))}

Cf. A125800, A078122; other columns: A078125, A078124, A125801, A125802.

Adjacent sequences: A125800 A125801 A125802 this_sequence A125804 A125805 A125806

Sequence in context: A134525 A125865 A134276 this_sequence A080265 A007974 A027111

nonn

Paul D. Hanna (pauldhanna(AT)juno.com), Dec 10 2006