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A133371
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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.
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4
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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
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table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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COMMENTS
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LINKS
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EXAMPLE
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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
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MAPLE
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for i from 0 to 7 do seq(binomial(i, j)*13^(i-j), j = 0 .. i) od;
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MATHEMATICA
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Flatten[Table[Binomial[i, j] 13^(i-j), {i, 0, 7}, {j, 0, i}]] (* Harvey P. Dale, Nov 01 2011 *)
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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