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A283003 Intersection of A003052 and A283002. 0
1, 3, 5, 7, 9, 31, 53, 75, 97, 1109, 1210, 1311, 1412, 1513, 1614, 1715, 1816, 1917, 10098, 11110, 11211, 11312, 11413, 11514, 11615, 11716, 11817, 11918, 20099, 21111, 21212, 21313, 21414, 21515, 21616, 21717, 21818, 21919, 30100, 31112 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Numbers which do not have a partition with multiplicities at most nine into parts {2, 11, 101, 1001, ...} or {2, 20, 101, 1010, ...}. - Charlie Neder, Feb 06 2019

LINKS

Table of n, a(n) for n=1..40.

MATHEMATICA

selfQ[n_, b_] := Catch[Block[{d = Length[IntegerDigits[n, b]]}, Do[If[k + Total@ IntegerDigits[k, b] == n, Throw@False], {k, Max[0, n - (b-1) d], n-1}]; True]]; Select[ Range[31112], selfQ[#, 10] && selfQ[#, 100] &] (* Giovanni Resta, Feb 28 2017 *)

CROSSREFS

Cf. A003052, A283002.

Sequence in context: A259380 A131668 A119252 * A329590 A141708 A081434

Adjacent sequences:  A283000 A283001 A283002 * A283004 A283005 A283006

KEYWORD

nonn,base

AUTHOR

Peter Weiss, Feb 26 2017

STATUS

approved

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Last modified May 25 17:36 EDT 2020. Contains 334595 sequences. (Running on oeis4.)