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A104063
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Triangle read by rows: T(n,k) = (-1)^k*3^(n-1-2k)*binomial(n-k,k)*(4n-5k)/(n-k) (0 <= k <= floor(n/2), n >= 1).
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0
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1, 4, 12, -1, 36, -7, 108, -33, 1, 324, -135, 10, 972, -513, 63, -1, 2916, -1863, 324, -13, 8748, -6561, 1485, -102, 1, 26244, -22599, 6318, -630, 16, 78732, -76545, 25515, -3375, 150, -1, 236196, -255879, 99144, -16443, 1080, -19, 708588, -846369, 373977, -74844, 6615, -207, 1
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OFFSET
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0,2
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LINKS
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MAPLE
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T:=proc(n, k) if k=0 and n=0 then 1 elif k<=floor(n/2) then (-1)^k*binomial(n-k, k)*3^(n-1-2*k)*(4*n-5*k)/(n-k) else 0 fi end: for n from 0 to 12 do seq(T(n, k), k=0..floor(n/2)) od;
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CROSSREFS
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Row sums yield the odd-indexed Lucas numbers (A002878).
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KEYWORD
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sign,tabf
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AUTHOR
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STATUS
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approved
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