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A068789 S(n; 2,0) where S(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. 9
1, 2, 4, 16, 56, 272, 1184, 4608, 17536, 65792 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

LINKS

F. Ruskey, 4-ary strings with given trace and subtrace.

FORMULA

S(n; t, s) = S(n-1; t, s) + S(n-1; t+3, s+3t+1) + S(n-1; t+2, s+2t) + S(n-1; t+1, s+t+1)

CROSSREFS

Cf. A073953, A068711, A073955, A068777, A068786, A068778, A073959, A068788, A073962.

Sequence in context: A005388 A053503 A153957 * A009624 A009161 A009290

Adjacent sequences:  A068786 A068787 A068788 * A068790 A068791 A068792

KEYWORD

nonn,base

AUTHOR

Frank Ruskey (ruskey(AT)cs.uvic.ca), Mar 29 2002

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.