

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
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OFFSET

2,1


LINKS

Table of n, a(n) for n=2..53.
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, A058898A058907.
Sequence in context: A155923 A248215 A283135 * A283294 A283217 A283390
Adjacent sequences: A052488 A052489 A052490 * A052492 A052493 A052494


KEYWORD

nonn,nice,easy,base


AUTHOR

J. H. Conway, Dec 30 2000


EXTENSIONS

Corrected and extended by David Radcliffe, Jan 08 2001
More terms from David W. Wilson, Jan 10 2001


STATUS

approved



