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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
0, 0, 0, 1, 1, 1, 3, 3, 6, 13, 20, 36, 65, 111, 194, 342, 596, 1041, 1830, 3200, 5593, 9802, 17148, 30002, 52537, 91940, 160897, 281646, 492933, 862718, 1510022, 2642890, 4625626, 8096054, 14170051, 24800873, 43407658, 75973898, 132972414
OFFSET
1,7
FORMULA
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.)
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jun 27 2004
STATUS
approved