Triangle A102098 shifts each column up 1 row under matrix cube.
PROG
(PARI) {a(n)=local(A=matrix(2, 2), B); A[1, 1]=1; for (m=2, n+1, B=matrix(m, m); for (i=1, m, for (j=1, i, if(j==i, B[i, j]=j, B[i, j]=(A^3)[i-1, j]); )); A=B); return(sum(k=0, n, (A^2)[n+1, k+1]))}
