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 A073965 Number of strings of length n over Z_5 with trace 0 and subtrace 2. 7
 0, 0, 6, 30, 150, 650, 3150, 15500, 78000, 390000, 1952500, 9762500, 48831250, 244156250, 1220781250, 6103593750, 30517656250, 152587500000, 762939062500, 3814695312500, 19073484375000, 95367421875000, 476837167968750, 2384185839843750, 11920929199218750 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Same as the number of strings of length n over Z_5 with trace 0 and subtrace 3. Same as the number of strings of length n over GF(5) with trace 0 and subtrace 2. Same as the number of strings of length n over GF(5) with trace 0 and subtrace 3. Same as the number of strings of length n over GF(5) with trace 1 and subtrace 0. Same as the number of strings of length n over GF(5) with trace 4 and subtrace 0. LINKS Table of n, a(n) for n=1..25. Max Alekseyev, PARI/GP scripts for miscellaneous math problems F. Ruskey, Strings over Z_5 with given trace and subtrace F. Ruskey, Strings over GF(5) with 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). Empirical g.f.: 2*x^3*(50*x^4-50*x^3+30*x^2-15*x+3) / ((5*x-1)*(5*x^2-1)*(25*x^4-25*x^3+15*x^2-5*x+1)). - Colin Barker, Apr 03 2015 CROSSREFS Cf. A073963, A073964, A073966, A073967, A073968, A073969, A073970. Sequence in context: A319377 A079738 A127741 * A214940 A002913 A157519 Adjacent sequences: A073962 A073963 A073964 * A073966 A073967 A073968 KEYWORD easy,nonn AUTHOR Frank Ruskey, Nate Kube, Aug 15 2002 EXTENSIONS Terms a(11) onward from Max Alekseyev, Apr 09 2013 STATUS approved

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Last modified September 29 05:52 EDT 2023. Contains 365757 sequences. (Running on oeis4.)