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A096571
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Number of compositions of n with first part 3 and no equal adjacent parts; this is column 3 of the array in A096568.
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4
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0, 0, 1, 1, 1, 2, 3, 6, 12, 20, 33, 59, 104, 181, 319, 557, 971, 1705, 2985, 5218, 9138, 15993, 27984, 48992, 85749, 150061, 262656, 459721, 804597, 1408263, 2464815, 4313962, 7550509, 13215258, 23129801, 40482775, 70854694, 124012664
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,6
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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.)
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CROSSREFS
| Cf. A003242, A096568, A096569, A096570, A096572.
Sequence in context: A007335 A103070 A079708 * A081156 A082877 A047090
Adjacent sequences: A096568 A096569 A096570 * A096572 A096573 A096574
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu), Jun 27 2004
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