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A124846 Triangle read by rows: T(n,k) = (2 - (-1)^k)*binomial(n,k) (0 <= k <= n). 1

%I #8 Nov 11 2019 21:49:20

%S 1,1,3,1,6,1,1,9,3,3,1,12,6,12,1,1,15,10,30,5,3,1,18,15,60,15,18,1,1,

%T 21,21,105,35,63,7,3,1,24,28,168,70,168,28,24,1,1,27,36,252,126,378,

%U 84,108,9,3,1,30,45,360,210,756,210,360,45,30,1,1,33,55,495,330,1386,462,990

%N Triangle read by rows: T(n,k) = (2 - (-1)^k)*binomial(n,k) (0 <= k <= n).

%e First few rows of the triangle:

%e 1;

%e 1, 3;

%e 1, 6, 1;

%e 1, 9, 3, 3;

%e 1, 12, 6, 12, 1;

%e 1, 15, 10, 30, 5, 3;

%e ...

%e A046055(4) = 16 = sum of row 4 terms (1 + 9 + 3 + 3).

%p T:=(n,k)->(2-(-1)^k)*binomial(n,k): for n from 0 to 12 do seq(T(n,k),k=0..n) od; # yields sequence in triangular form

%Y Cf. A010684, A046055, A124845.

%K nonn,tabl

%O 0,3

%A _Gary W. Adamson_, Nov 10 2006

%E Edited by _N. J. A. Sloane_, Nov 24 2006

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Last modified August 17 12:20 EDT 2024. Contains 375210 sequences. (Running on oeis4.)