A073983 Number of strings of length n over Z_6 with trace 2 and subtrace 0.

1, 2, 3, 18, 180, 1296, 8100, 50544, 297432, 1679616, 9722592, 58576608, 358108128, 2179768320, 13162730688, 78976384128, 472093588224, 2821109907456, 16891882995456, 101356447675392, 608764662139392, 3656158440062976, 21947538146863104, 131685972252346368

Offset

1,2

Comments

Same as the number of strings of length n over Z_6 with trace 4 and subtrace 0.

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, A073982, A073984, A073985, A073986, A073987, A073988, A073989, A073990, A073991, A073992, A073993, A073994.

Sequence in context: A226961 A107095 A102939 * A230602 A269343 A292991

Adjacent sequences: A073980 A073981 A073982 * A073984 A073985 A073986

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