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A073962 Number of strings over Z_4 of length n with trace 2 and subtrace 2. +0
11
0, 0, 0, 0, 40, 240, 1120, 4608, 17536, 65280 (list; graph; listen)
OFFSET

1,5

COMMENT

a(n; 2,2) where a(n; t,s) is the number of length n 4-ary strings whose digits sum to t mod 4 and whose sum of products of all pairs of digits sum to s mod 4.

LINKS

F. Ruskey, Strings over Z_4 of given Trace and Subtrace

FORMULA

a(n; t, s) = a(n-1; t, s) + a(n-1; t+3, s+3t+1) + a(n-1; t+2, s+2t) + a(n-1; t+1, s+t+1) where t is the trace and s is the subtrace.

CROSSREFS

Cf. A073953, A068711, A073955, A068777, A068786, A068778, A073959, A068788, A068789.

Sequence in context: A072108 A074360 A068790 this_sequence A115170 A035099 A065255

Adjacent sequences: A073959 A073960 A073961 this_sequence A073963 A073964 A073965

KEYWORD

easy,nonn

AUTHOR

Frank Ruskey and Nate Kube (fruskey(AT)cs.uvic.ca), Aug 15 2002

EXTENSIONS

Edited by N. J. A. Sloane (njas(AT)research.att.com) at the suggestion of Andrew Plewe, May 20 2007

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Last modified December 5 23:38 EST 2009. Contains 170428 sequences.


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