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Search: id:A052491
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| A052491 |
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Smallest "inconsummate number" in base n: smallest number such that in base n, no number is this multiple of the sum of its digits. |
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+0
14
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| 13, 17, 29, 16, 27, 30, 42, 46, 62, 68, 86, 92, 114, 122, 147, 154, 182, 192, 222, 232, 266, 278, 314, 326, 367, 380, 422, 436, 482, 498, 546, 562, 614, 632, 688, 704, 762, 782, 842, 862, 926, 948, 1014, 1036, 1107, 1130, 1202, 1226, 1302, 1328, 1406, 1432
(list; graph; listen)
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OFFSET
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2,1
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LINKS
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David Radcliffe, Inconsummate Numbers
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EXAMPLE
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a(10) = 62, from A003635.
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MATHEMATICA
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Do[n = 1; While[k = n; While[ Apply[ Plus, IntegerDigits[k, b] ]*n != k && k < 100n, k += n ]; k != 100n, n++ ]; Print[n], {b, 2, 54} ]
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CROSSREFS
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Cf. A003635, A058898-A058907.
Sequence in context: A104278 A129070 A155923 this_sequence A078138 A164074 A152426
Adjacent sequences: A052488 A052489 A052490 this_sequence A052492 A052493 A052494
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KEYWORD
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nonn,nice,easy,base
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AUTHOR
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John Conway (conway(AT)Math.Princeton.EDU), Dec 30 2000
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EXTENSIONS
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Corrected and extended by David Radcliffe (radcl008(AT)umn.edu), Jan 08 2001. More terms from David W. Wilson (davidwwilson(AT)comcast.net), Jan 10 2001
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