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A007987 Number of irreducible words of length 2n in the free group with generators x,y such that the total degree of x and the total degree of y both equal zero. 1
1, 0, 8, 40, 312, 2240, 17280, 134568, 1071000, 8627872, 70302888, 577920200, 4786740112, 39899052960, 334391846048, 2815803070920, 23809393390680, 202061204197632, 1720404406215720, 14690717541313128, 125775000062934552 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Also, co-growth function of a certain group given by Humphries 1997 (page 211).

LINKS

Table of n, a(n) for n=0..20.

Stephen P Humphries, Cogrowth of groups and the Dedekind-Frobenius group determinant, Mathematical Proc. Camb. Phil. Soc. (1997) vol. 121, pp. 193-217

FORMULA

For n>0, a(n) = A168597(n) - A168597(n-1) = A002426(n)^2 - A002426(n-1)^2

CROSSREFS

Sequence in context: A188332 A158922 A117083 * A092397 A096969 A209829

Adjacent sequences:  A007984 A007985 A007986 * A007988 A007989 A007990

KEYWORD

nonn

AUTHOR

Stephen P. Humphries

EXTENSIONS

Formula and further terms from Max Alekseyev, Jun 04 2011

STATUS

approved

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Last modified May 23 15:18 EDT 2013. Contains 225610 sequences.