A073985 Number of strings of length n over Z_6 with trace 2 and subtrace 2.

0, 0, 3, 24, 180, 1296, 9072, 54432, 297432, 1658880, 9722592, 58576608, 356638464, 2173796352, 13162730688, 79012495872, 472093588224, 2821109907456, 16894457846784, 101366747080704, 608764662139392, 3656096522698752, 21947538146863104, 131685972252346368

Offset

1,3

Comments

Same as the number of strings of length n over Z_6 with trace 4 and subtrace 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, A073976, A073977, A073978, A073979, A073980, A073981, A073982, A073983, A073984, A073986, A073987, A073988, A073989, A073990, A073991, A073992, A073993, A073994.

Sequence in context: A356362 A356361 A292293 * A197209 A317527 A181967

Adjacent sequences: A073982 A073983 A073984 * A073986 A073987 A073988

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