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A074712 Number of (interiors of) cells touched by a diagonal in a regular m X n grid (enumerated diagonally). +0
1
1, 2, 2, 3, 2, 3, 4, 4, 4, 4, 5, 4, 3, 4, 5, 6, 6, 6, 6, 6, 6, 7, 6, 7, 4, 7, 6, 7, 8, 8, 6, 8, 8, 6, 8, 8, 9, 8, 9, 8, 5, 8, 9, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 9, 8, 11, 6, 11, 8, 9, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12 (list; table; graph; listen)
OFFSET

1,2

LINKS

Alberto L. Delgado's Problem of the Week No. 145

FORMULA

T(m, n) = m + n - 1 if m and n are coprime; T(m, n) = d * T(m/d, n/d) where d is the greatest commen divisor of m and n, otherwise.

CROSSREFS

Sequence in context: A073453 A123229 A127095 this_sequence A087735 A106250 A029248

Adjacent sequences: A074709 A074710 A074711 this_sequence A074713 A074714 A074715

KEYWORD

easy,more,nonn,tabl

AUTHOR

Jens Voss (jens.voss(AT)poet.de), Sep 04 2002

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


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