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A091453
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Triangular array T(h,k) read by rows in which row h consists of the numbers Floor[2h/k], k=1,2,...,2h+1.
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4
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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; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| 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.
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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
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CROSSREFS
| Cf. A013942, A091449.
Sequence in context: A138002 A062296 A140649 * A062173 A004558 A129699
Adjacent sequences: A091450 A091451 A091452 * A091454 A091455 A091456
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KEYWORD
| nonn,tabf
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu), Feb 03 2004
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