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Search: id:A133794
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| A133794 |
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Times on a 12-hour digital clock with all digits in {1, 2, 3, 4, 5, 6}. |
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+0
2
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| 111, 112, 113, 114, 115, 116, 121, 122, 123, 124, 125, 126, 131, 132, 133, 134, 135, 136, 141, 142, 143, 144, 145, 146, 151, 152, 153, 154, 155, 156, 211, 212, 213, 214, 215, 216, 221, 222, 223, 224, 225, 226, 231, 232, 233, 234, 235, 236, 241, 242, 243
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Digital clock dice integers. The number of values with 3 digits is 180. The number of values with 4 digits is 90. The number of values with 5 digits is 5400. The number of values with 6 digits is 2700. The total number of values is 8370, to the maximum 125656 equated to "12:56:56." Prime values must end with one of {11, 13, 21, 23, 31, 33, 41, 43, 51, 53}. The number of prime values with 3 digits is 23. The number of prime values with 4 digits is 11, namely 1013, 1021, 1031, 1033, 1051, 1123, 1151, 1153, 1213, 1223, 1231. Prime values with 5 digits begin 11113, 11131, 11213, 11243, 11251, 11257, 1311.
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FORMULA
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A057436 INTERSECTION {integers that can appear on a 12-hour digital clock, concatenated from either hours:minutes or hours:minutes:seconds}.
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EXAMPLE
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"151" equated to "1:51"; "123456" equated to "12:34:56".
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CROSSREFS
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Cf. A000040, A036960, A052382, A057436, A133783, index for "digital clock".
Sequence in context: A134554 A084514 A084524 this_sequence A104155 A133786 A039990
Adjacent sequences: A133791 A133792 A133793 this_sequence A133795 A133796 A133797
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KEYWORD
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easy,fini,nonn,base,less,dumb
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Jan 05 2008
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