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 A132731 2*A007318 + A103451 - 2*A000012. 2

%I

%S 1,1,1,1,2,1,1,4,4,1,1,6,10,6,1,1,8,18,18,8,1,1,10,28,38,28,10,1,1,12,

%T 40,68,68,40,12,1,1,14,54,110,138,110,54,14,1,1,16,70,166,250,250,166,

%U 70,16,1,1,18,88,238,418,502,418,238,88,18,1

%N 2*A007318 + A103451 - 2*A000012.

%F 2*A007318 + A103451 - 2*A000012 as infinite lower triangular matrices.

%e First few rows of the triangle are:

%e 1;

%e 1, 1;

%e 1, 2, 1;

%e 1, 4, 4, 1;

%e 1, 6, 10, 6, 1;

%e 1, 8, 18, 18, 8, 1;

%e 1, 10, 28, 38, 28, 10, 1;

%e 1, 12, 40, 68, 68, 40, 12, 1;

%e ...

%o (PARI) t(n,k) = 2*binomial(n, k) + ((k==0) || (k==n)) - 2*(k<=n); \\ _Michel Marcus_, Feb 12 2014

%Y Cf. A007318, A103451, A000012. A132732 (row sums).

%K nonn,tabl

%O 0,5

%A _Gary W. Adamson_, Aug 26 2007

%E Corrected by _Jeremy Gardiner_, Feb 02 2014

%E More terms from _Michel Marcus_, Feb 12 2014

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Last modified October 20 02:18 EDT 2019. Contains 328244 sequences. (Running on oeis4.)