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A091453 Triangular array T(h,k) read by rows in which row h consists of the numbers Floor[2h/k], k=1,2,...,2h+1. +0
5
0, 0, 2, 1, 0, 4, 2, 1, 1, 0, 6, 3, 2, 1, 1, 1, 0, 8, 4, 2, 2, 1, 1, 1, 1, 0, 10, 5, 3, 2, 2, 1, 1, 1, 1, 1, 0, 12, 6, 4, 3, 2, 2, 1, 1, 1, 1, 1, 1, 0, 14, 7, 4, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 16, 8, 5, 4, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 18, 9, 6, 4, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 20, 10, 6 (list; graph; listen)
OFFSET

1,3

COMMENT

First terms in period of continued fraction of sqrt(n).

Similar to A013942, except that here, period lengths of continued fractions all sqrt(n) are included, those of the squares being 0.

EXAMPLE

Northwest corner of array:

0

0 2 1

0 4 2 1 1

0 6 3 2 1 1 1

0 8 4 2 2 1 1 1 1

CROSSREFS

Cf. A013942, A091449.

Sequence in context: A138002 A062296 A140649 this_sequence A062173 A004558 A129699

Adjacent sequences: A091450 A091451 A091452 this_sequence A091454 A091455 A091456

KEYWORD

nonn,tabf

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), Feb 03 2004

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Last modified December 20 13:54 EST 2009. Contains 171081 sequences.


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