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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.
4

%I #8 Nov 21 2013 12:49:06

%S 1,13,1,169,26,1,2197,507,39,1,28561,8788,1014,52,1,371293,142805,

%T 21970,1690,65,1,4826809,2227758,428415,43940,2535,78,1,62748517,

%U 33787663,7797153,999635,76895,3549,91,1

%N 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.

%C Mirror image of A123187. - _Philippe Deléham_, Dec 27 2007

%e 1

%e 13, 1

%e 169, 26, 1

%e 2197, 507, 39, 1

%e 28561, 8788, 1014, 52, 1

%e 371293, 142805, 21970, 1690, 65, 1

%e 4826809, 2227758, 428415, 43940, 2535, 78, 1

%e 62748517, 33787663, 7797153, 999635, 76895, 3549, 91, 1

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

%t Flatten[Table[Binomial[i,j] 13^(i-j),{i,0,7},{j,0,i}]] (* _Harvey P. Dale_, Nov 01 2011 *)

%Y Cf. A001022, A008595.

%K easy,nonn,tabl

%O 0,2

%A _Zerinvary Lajos_, with help from Emeric Deutsch, Dec 21 2007