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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,7

LINKS

Table of n, a(n) for n=1..39.

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

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

Sequence in context: A287151 A123140 A123289 * A318540 A325879 A325865

Adjacent sequences:  A096569 A096570 A096571 * A096573 A096574 A096575

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jun 27 2004

STATUS

approved

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Last modified August 14 18:13 EDT 2022. Contains 356122 sequences. (Running on oeis4.)