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A073977 Number of strings of length n over Z_6 with trace 1 and subtrace 0. 22
1, 4, 9, 36, 180, 972, 6300, 44928, 297432, 1784592, 10349856, 60466176, 358108128, 2145709440, 12958657344, 78364164096, 472093588224, 2832129868032, 16957996040448, 101554796888064, 608764662139392, 3652587972836352, 21926115464435712, 131621703842267136 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Same as the number of strings of length n over Z_6 with trace 5 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, A073978, A073979, A073980, A073981, A073982, A073983, A073984, A073985, A073986, A073987, A073988, A073989, A073990, A073991, A073992, A073993, A073994.

Sequence in context: A118548 A176830 A077211 * A055872 A066924 A251689

Adjacent sequences:  A073974 A073975 A073976 * A073978 A073979 A073980

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

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Last modified March 30 16:16 EDT 2020. Contains 333127 sequences. (Running on oeis4.)