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A073969
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Number of strings of length n over Z_5 with trace 1 and subtrace 3.
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7
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OFFSET
| 1,2
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COMMENTS
| Same as the number of strings of length n over Z_5 with trace 2 and subtrace 2. Same as the number of strings of length n over Z_5 with trace 3 and subtrace 2. Same as the number of strings of length n over Z_5 with trace 4 and subtrace 3. Same as the number of strings of length n over GF(5) with trace 1 and subtrace 3. Same as the number of strings of length n over GF(5) with trace 2 and subtrace 2. Same as the number of strings of length n over GF(5) with trace 3 and subtrace 2. Same as the number of strings of length n over GF(5) with trace 4 and subtrace 3.
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LINKS
| F. Ruskey, Strings over Z_5 of given trace and subtrace
F. Ruskey, Strings over GF(5) of given trace and subtrace
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FORMULA
| a(n; t, s) = a(n-1; t, s) + a(n-1; t+4, s+4t+1) + a(n-1; t+3, s+3t+4) + a(n-1; t+2, s+2t+4) + a(n-1; t+1, s+t+1)
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EXAMPLE
| a(2;3,2)=2 since the two 5-ary strings of trace 3, subtrace 2 and length 2 are { 12, 21 }.
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CROSSREFS
| Cf. A073963, A073964, A073965, A073966, A073967, A073968, A073970.
Sequence in context: A036752 A065563 A035105 * A120950 A055695 A113593
Adjacent sequences: A073966 A073967 A073968 * A073970 A073971 A073972
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KEYWORD
| easy,nonn
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AUTHOR
| Frank Ruskey, Nate Kube (ruskey(AT)cs.uvic.ca), Aug 15 2002
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