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A096572 Number of compositions of n with first part 4 and no equal adjacent parts; this is column 4 of the array in A096568. 4

%I #5 Mar 30 2012 18:57:05

%S 0,0,0,1,1,1,3,3,6,13,20,36,65,111,194,342,596,1041,1830,3200,5593,

%T 9802,17148,30002,52537,91940,160897,281646,492933,862718,1510022,

%U 2642890,4625626,8096054,14170051,24800873,43407658,75973898,132972414

%N Number of compositions of n with first part 4 and no equal adjacent parts; this is column 4 of the array in A096568.

%F Define s(0)=1, T(1, 1)=1 and T(i, j)=0 for j>i. For n>=2 and 1<=k<=n, define s(n)=T(n, 1)+T(n, 2)+...+T(n, n) and T(n, k)=s(n-k)-T(n-k, k). (This is array A096568.)

%Y Cf. A003242, A096568, A096569, A096570, A096571.

%K nonn

%O 1,7

%A _Clark Kimberling_, Jun 27 2004

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