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Search: id:A120500
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| A120500 |
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Times in hours,minutes and seconds (to the nearest second) at which the smoothly crossing minute and hour hands of an analogue clock coincide,over a period of one complete 12-hour sweep of the hour hand. |
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+0
1
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| 0, 10527, 21055, 31622, 42149, 52716, 63244, 73811, 84338, 94905, 105433, 120000
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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A subsequence of A121577. - Lekraj Beedassy (blekraj(AT)yahoo.com), Aug 09 2006
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REFERENCES
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M. Gardner, Science Fiction Puzzle Tales, Problem 28 pp. 90;141 Clarkson N.Potter NY 1981.
M. Gardner, Mathematical Puzzles of Sam Loyd, Problem 43 pp. 40;137 Dover NY 1959.
A. Jouette, Le Secret Des Nombres, Problem 52 pp. 176;269 Albin Michel Paris 1996.
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LINKS
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T. Eveilleau, The clock's hands (Text in French)
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FORMULA
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a(n)=round(43200*n/11) expressed in double-spaced sexagesimal scale. In other words, the hour and minute hands line up at 11 successive positions after every (12/11)hr, i.e., 1hr5min27s and 3/11s from noon or midnight.
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EXAMPLE
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52716, for instance, in the sequence is meant to be read 5:27:16 or 5hr27mn16s.
We have a(3)=round(43200*3/11) to base 60(double-spaced), i.e., 11782=3*60^2 +16*60 + 22*1 to base 60, which is 31622.
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CROSSREFS
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Sequence in context: A068759 A114126 A171352 this_sequence A157487 A119866 A065319
Adjacent sequences: A120497 A120498 A120499 this_sequence A120501 A120502 A120503
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KEYWORD
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fini,full,nonn
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), Aug 06 2006
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