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A085542 Determinant of the n X n matrix M_(i,j)=i/gcd(i,j)=lcm(i,j)/j. 1
1, -1, 2, -2, 8, 16, -96, 96, -192, -768, 7680, 15360, -184320, -1105920, -8847360, 8847360, -141557760, -283115520, 5096079360, 20384317440, 244611809280, 2446118092800, -53814598041600, -107629196083200, 430516784332800, 5166201411993600, -10332402823987200 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

FORMULA

a(n+1)/a(n)= A023900(n+1) the reciprocity balance of n+1

PROG

(PARI) a(n)=matdet(matrix(n, n, i, j, i/gcd(i, j)))

CROSSREFS

Sequence in context: A109190 A016120 A188115 * A009725 A053098 A194588

Adjacent sequences:  A085539 A085540 A085541 * A085543 A085544 A085545

KEYWORD

sign

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 19 2003

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Last modified February 14 06:20 EST 2012. Contains 205570 sequences.