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A096570
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Number of compositions of n with first part 2 and no equal adjacent parts; this is column 2 of the array in A096568.
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4
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0, 1, 1, 0, 2, 4, 5, 10, 18, 29, 53, 95, 161, 283, 500, 869, 1524, 2673, 4665, 8170, 14313, 25032, 43817, 76710, 134228, 234938, 411242, 719720, 1259677, 2204816, 3858882, 6753956, 11821191, 20689807, 36212093, 63380145, 110930372, 194154783
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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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, A096571, A096572.
Sequence in context: A138856 A018401 A049332 * A046430 A133040 A018424
Adjacent sequences: A096567 A096568 A096569 * A096571 A096572 A096573
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu), Jun 27 2004
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