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A051287 Triangular array T read by rows: T(n,k)=P(n,k,|n-2k|), where P(n,k,c)=number of vectors (x(1),x(2,),...,x(n)) of k 1's and n-k 0's such that x(i)=x(n+1-i) for exactly c values of i. 0

%I

%S 1,1,1,1,2,1,1,2,2,1,1,4,4,4,1,1,4,4,4,4,1,1,6,12,8,12,6,1,1,6,12,8,8,

%T 12,6,1,1,8,24,32,16,32,24,8,1,1,8,24,32,16,16,32,24,8,1,1,10,40,80,

%U 80,32,80,80,40,10,1,1,10,40,80,80,32,32,80

%N Triangular array T read by rows: T(n,k)=P(n,k,|n-2k|), where P(n,k,c)=number of vectors (x(1),x(2,),...,x(n)) of k 1's and n-k 0's such that x(i)=x(n+1-i) for exactly c values of i.

%C P(n,k,n) counts palindromes.

%e Rows: {1}; {1,1}; {1,2,1}; ...

%K nonn,tabl

%O 0,5

%A _Clark Kimberling_

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Last modified January 18 16:40 EST 2019. Contains 319271 sequences. (Running on oeis4.)