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A052491 Smallest "inconsummate number" in base n: smallest number such that in base n, no number is this multiple of the sum of its digits. 13
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; refs; listen; history; internal format)
OFFSET

2,1

LINKS

David Radcliffe, Inconsummate Numbers

EXAMPLE

a(10) = 62, from A003635.

MATHEMATICA

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} ]

CROSSREFS

Cf. A003635, A058898-A058907.

Sequence in context: A104278 A129070 A155923 * A078138 A164074 A152426

Adjacent sequences:  A052488 A052489 A052490 * A052492 A052493 A052494

KEYWORD

nonn,nice,easy,base

AUTHOR

John Conway (conway(AT)Math.Princeton.EDU), Dec 30 2000

EXTENSIONS

Corrected and extended by David Radcliffe (dradcliffe(AT)gmail.com), Jan 08 2001.

More terms from David W. Wilson (davidwwilson(AT)comcast.net), Jan 10 2001

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Last modified February 15 15:20 EST 2012. Contains 205823 sequences.