A073992 Number of strings of length n over Z_6 with trace 3 and subtrace 3.

0, 0, 3, 36, 210, 1260, 8100, 46656, 262440, 1574640, 9843120, 60963840, 369476640, 2210794560, 13162730688, 78364164096, 468205557120, 2809233342720, 16891882995456, 101559956668416, 609954817881600, 3659728907289600, 21947909832446976, 131623189859008512

Offset

1,3

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, A073983, A073984, A073985, A073986, A073987, A073988, A073989, A073990, A073991, A073993, A073994.

Sequence in context: A275085 A303152 A188891 * A268898 A127960 A005446

Adjacent sequences: A073989 A073990 A073991 * A073993 A073994 A073995

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