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A076261 Triangle T(n,k) (n >= 2, 1 <= k <= n-1) read by rows, where T(n,k) is the number of words of length n in the free group on two generators that require exactly k multiplications for their formation. +0
2
4, 0, 8, 0, 4, 12, 0, 0, 18, 14, 0, 0, 10, 44, 10, 0, 0, 0, 50, 74, 4 (list; table; graph; listen)
OFFSET

2,1

EXAMPLE

T(4,2)=4 because we can generate each of aaaa,abab,baba,bbbb with just two multiplications: e.g. ab=a*b, abab=ab*ab.

CROSSREFS

Cf. A076262.

Sequence in context: A016682 A019111 A103554 this_sequence A070802 A114401 A073467

Adjacent sequences: A076258 A076259 A076260 this_sequence A076262 A076263 A076264

KEYWORD

more,nonn,tabl

AUTHOR

Colin Mallows (colinm(AT)research.avayalabs.com), Oct 03 2002

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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