A073979 - OEIS

A073979

Number of strings of length n over Z_6 with trace 1 and subtrace 2.

0, 0, 9, 48, 180, 972, 7056, 48384, 297432, 1762560, 10349856, 60466176, 356638464, 2139830784, 12958657344, 78399995904, 472093588224, 2832129868032, 16960580969472, 101565116448768, 608764662139392, 3652526115938304, 21926115464435712, 131621703842267136

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OFFSET

1,3

COMMENTS

Same as the number of strings of length n over Z_6 with trace 5 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, A073980, A073981, A073982, A073983, A073984, A073985, A073986, A073987, A073988, A073989, A073990, A073991, A073992, A073993, A073994.

Sequence in context: A341757 A286437 A212107 * A018984 A055582 A359175

Adjacent sequences: A073976 A073977 A073978 * A073980 A073981 A073982

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