A073986 - OEIS

A073986

Number of strings of length n over Z_6 with trace 2 and subtrace 3.

0, 2, 9, 54, 300, 1296, 6300, 39312, 262440, 1679616, 10349856, 62355744, 369476640, 2179768320, 12958657344, 77751944064, 468419708160, 2821109907456, 16957996040448, 101753146100736, 609954817881600, 3656158440062976, 21926115464435712, 131557435432187904

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OFFSET

1,2

COMMENTS

Same as the number of strings of length n over Z_6 with trace 4 and subtrace 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, A073987, A073988, A073989, A073990, A073991, A073992, A073993, A073994.

Sequence in context: A218945 A233338 A360454 * A223943 A371698 A241125

Adjacent sequences: A073983 A073984 A073985 * A073987 A073988 A073989

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