A182950 Joint-rank array of the numbers (3*i+2)*3^j, where i>=0, j>=0, by antidiagonals.

1, 3, 2, 9, 7, 4, 27, 22, 12, 5, 81, 67, 36, 16, 6, 243, 202, 108, 49, 20, 8, 729, 607, 324, 148, 62, 25, 10, 2187, 1822, 972, 445, 188, 76, 30, 11, 6561, 5467, 2916, 1336, 566, 229, 90, 34, 13, 19683, 16402, 8748, 4009, 1700, 688, 270, 103, 39, 14

Offset: 1

Author

Clark Kimberling, Dec 15 2010

Keywords

• nonn
• tabl

Comments

Joint-rank arrays are defined in the first comment at A182801. As for any joint-rank array, A182950 is a permutation of the positive integers, but, a fortiori, A182950 is an interspersion: after initial terms every row is interspersed with all other rows. The numbers (3*i+2)*3^j as an array comprise A182830; and sorted, possibly A026179.

(row 1)=A000244.

(row 2)=A060816.

(row 3)=A003946.

(row 4)=A052909.

(row 5)=A027107?

Examples

			Northwest corner:
1....3....9....27...
2....7...22....67...
4...12...36...108...
5...16...49...148...
		

Links

• Clark Kimberling, Interspersions and Dispersions.

Crossrefs

Cf. A182801, A182830, A026179, A182949.

Programs

Mathematica

 M[i_,j_]:=j+Floor[Log[3*i/2+1]/Log[3]];
 T[i_,j_]:=Sum[Floor[1/3+(3*i+2)*3^(j-k-1)],{k,0,M[i,j]}];
 TableForm[Table[T[i,j],{i,0,9},{j,0,9}]]