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A073968 Number of strings of length n over Z_5 with trace 1 and subtrace 2. +0
8
0, 0, 1, 20, 125, 650, 3150, 15625, 78000, 390625 (list; graph; listen)
OFFSET

1,4

COMMENT

Same as the number of strings of length n over Z_5 with trace 2 and subtrace 3. Same as the number of strings of length n over Z_5 with trace 3 and subtrace 3. Same as the number of strings of length n over Z_5 with trace 4 and subtrace 2. Same as the number of strings of length n over GF(5) with trace 1 and subtrace 2. Same as the number of strings of length n over GF(5) with trace 2 and subtrace 3. Same as the number of strings of length n over GF(5) with trace 3 and subtrace 3. Same as the number of strings of length n over GF(5) with trace 4 and subtrace 2.

LINKS

F. Ruskey, Strings over Z_5 of given trace and subtrace

F. Ruskey, Strings over GF(5) of given trace and subtrace

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)

EXAMPLE

a(3;1,2)=1 since the one 5-ary string of trace 1, subtrace 2 and length 3 is { 222 }.

CROSSREFS

Cf. A073963, A073964, A073965, A073966, A073967, A073969, A073970.

Sequence in context: A041770 A156255 A004634 this_sequence A125330 A126488 A005551

Adjacent sequences: A073965 A073966 A073967 this_sequence A073969 A073970 A073971

KEYWORD

easy,nonn

AUTHOR

Frank Ruskey, Nate Kube (fruskey(AT)cs.uvic.ca), Aug 15 2002

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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