A073976 - OEIS

A073976

Number of strings of length n over Z_6 with trace 0 and subtrace 5.

0, 2, 18, 72, 300, 1440, 7056, 39312, 252720, 1658880, 10349856, 62099136, 367960320, 2179768320, 12976433280, 77787495936, 468419708160, 2821539889152, 16960580969472, 101753146100736, 609923828966400, 3656096522698752, 21926115464435712, 131556692786614272

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

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, A073977, A073978, A073979, A073980, A073981, A073982, A073983, A073984, A073985, A073986, A073987, A073988, A073989, A073990, A073991, A073992, A073993, A073994.

Sequence in context: A316904 A196812 A163102 * A120361 A120358 A152887

Adjacent sequences: A073973 A073974 A073975 * A073977 A073978 A073979

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