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A003635 Inconsummate numbers in base 10: no number is this multiple of the sum of its digits (in base 10).
(Formerly M5325)
20
62, 63, 65, 75, 84, 95, 161, 173, 195, 216, 261, 266, 272, 276, 326, 371, 372, 377, 381, 383, 386, 387, 395, 411, 416, 422, 426, 431, 432, 438, 441, 443, 461, 466, 471, 476, 482, 483, 486, 488, 491, 492, 493, 494, 497, 498, 516, 521, 522, 527, 531, 533, 536 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

J. H. Conway, personal communication.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Daniel Mondot, Table of n, a(n) for n = 1..10867

David Radcliffe, Inconsummate Numbers

MAPLE

For Maple code see A058906.

MATHEMATICA

nmax = 1000; Reap[ Do[k = n; kmax = 100*n; While[ Tr[ IntegerDigits[k]]*n != k && k < kmax, k = k + n]; If[k == kmax, Sow[n]], {n, 1, nmax}]][[2, 1]] (* Jean-Fran├žois Alcover, Jul 12 2012 *)

CROSSREFS

Cf. A003634, A052489, A052490, A052491, A058898-A058917.

Sequence in context: A033382 A143733 A296766 * A188631 A076764 A214251

Adjacent sequences:  A003632 A003633 A003634 * A003636 A003637 A003638

KEYWORD

nonn,easy,nice,base

AUTHOR

N. J. A. Sloane and Mira Bernstein

STATUS

approved

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Last modified November 19 14:52 EST 2018. Contains 317352 sequences. (Running on oeis4.)