A133371 Triangle read by rows: T(i,j) is the number of i-permutations of 14 objects a,b,c,d,e,f,g,h,i,j,k,l,m,n, with repetition allowed, containing j a's.

1, 13, 1, 169, 26, 1, 2197, 507, 39, 1, 28561, 8788, 1014, 52, 1, 371293, 142805, 21970, 1690, 65, 1, 4826809, 2227758, 428415, 43940, 2535, 78, 1, 62748517, 33787663, 7797153, 999635, 76895, 3549, 91, 1

Offset: 0

Author

Zerinvary Lajos, with help from Emeric Deutsch, Dec 21 2007

Keywords

• easy
• nonn
• tabl

Comments

Mirror image of A123187. - Philippe Deléham, Dec 27 2007

Examples

			1
13, 1
169, 26, 1
2197, 507, 39, 1
28561, 8788, 1014, 52, 1
371293, 142805, 21970, 1690, 65, 1
4826809, 2227758, 428415, 43940, 2535, 78, 1
62748517, 33787663, 7797153, 999635, 76895, 3549, 91, 1
		

Crossrefs

Cf. A001022, A008595.

Programs

Maple

for i from 0 to 7 do seq(binomial(i, j)*13^(i-j), j = 0 .. i) od;

Mathematica

Flatten[Table[Binomial[i,j] 13^(i-j),{i,0,7},{j,0,i}]] (* Harvey P. Dale, Nov 01 2011 *)