OFFSET
0,2
COMMENTS
T(i,j) is the number of i-permutations of 12 objects a,b,c,d,e,f,g,h,i,j,k,l, with repetition allowed, containing j a's. - Zerinvary Lajos, Dec 21 2007
REFERENCES
B. N. Cyvin et al., Isomer enumeration of unbranched catacondensed polygonal systems with pentagons and heptagons, Match, No. 34 (Oct 1996), pp. 109-121.
EXAMPLE
1
11, 1
121, 22, 1
1331, 363, 33, 1
14641, 5324, 726, 44, 1
161051, 73205, 13310, 1210, 55, 1
1771561, 966306, 219615, 26620, 1815, 66, 1
19487171, 12400927, 3382071, 512435, 46585, 2541, 77, 1
214358881, 155897368, 49603708, 9018856, 1024870, 74536, 3388, 88, 1
MAPLE
for i from 0 to 8 do seq(binomial(i, j)*11^(i-j), j = 0 .. i) od; # Zerinvary Lajos, Dec 21 2007
MATHEMATICA
Table[Binomial[i, j]11^(i-j), {i, 0, 10}, {j, 0, i}]//Flatten (* Harvey P. Dale, Nov 10 2022 *)
CROSSREFS
KEYWORD
AUTHOR
STATUS
approved