A073982 Number of strings of length n over Z_6 with trace 1 and subtrace 5.

0, 0, 3, 48, 300, 1620, 9072, 48384, 262440, 1555200, 9722592, 60466176, 367960320, 2207761920, 13162730688, 78399995904, 468419708160, 2810089946880, 16894457846784, 101565116448768, 609954817881600, 3659666929459200, 21947538146863104, 131621703842267136

Offset

1,3

Comments

Same as the number of strings of length n over Z_6 with trace 5 and subtrace 5.

Links

Table of n, a(n) for n=1..24.

Max Alekseyev, PARI/GP scripts for miscellaneous math problems

F. Ruskey Strings over Z_6 with given trace and subtrace

Formula

a(n; t, s) = a(n-1; t, s) + a(n-1; t+5, s+5t+1) + a(n-1; t+4, s+4t+4) + a(n-1; t+3, s+3t+3) + a(n-1; t+2, s+2t+2) + a(n-1; t+1, s+t+1) where t is the trace and s is the subtrace.

Crossrefs

Cf. A073971, A073972, A073973, A073974, A073975, A073976, A073977, A073978, A073979, A073980, A073981, A073983, A073984, A073985, A073986, A073987, A073988, A073989, A073990, A073991, A073992, A073993, A073994.

Sequence in context: A003878 A219056 A230962 * A356644 A354132 A335178

Adjacent sequences: A073979 A073980 A073981 * A073983 A073984 A073985

Keyword

easy,nonn

Author

Frank Ruskey and Nate Kube, Aug 16 2002

Extensions

Terms a(11) onward from Max Alekseyev, Apr 09 2013

Status

approved