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A182040 Integers whose decimal representation consists of three distinct digits, one appearing once, one appearing twice, and one appearing three times. 6
100012, 100013, 100014, 100015, 100016, 100017, 100018, 100019, 100021, 100022, 100031, 100033, 100041, 100044, 100051, 100055, 100061, 100066, 100071, 100077, 100081, 100088, 100091, 100099, 100102, 100103, 100104, 100105, 100106, 100107, 100108, 100109, 100112 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

There are 38880 terms, including 41 squares (A182098) and 3640 primes (A182092). - Zak Seidov, Apr 12 2012

This is the subsequence of A218556 consisting of terms with indices n = 254, ..., 39133. The number of terms is 38880 = A218566(10,3), the starting index is 254 = 1 + A218566(10,1) + A218566(10,2) + 1. - M. F. Hasler, Nov 02 2012

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..38880 (complete sequence)

MATHEMATICA

t = Select[Range[100000, 999999], Sort[Transpose[Tally[IntegerDigits[#]]][[2]]] == {1, 2, 3} &]; Take[t, 32] (* T. D. Noe, Apr 11 2012 *)

PROG

(PARI) is(n)=n=vecsort(eval(Vec(Str(n)))); vecsort(apply(k->sum(i=1, #n, n[i]==k), vecsort(n, , 8)))==[1, 2, 3] \\ Charles R Greathouse IV, Apr 11 2012

CROSSREFS

Cf. A071925, A181986 (digitally balanced numbers: ternary numbers which have the same number of 0's as 1's as 2's), A182051 (primes with a majority of one digit).

Sequence in context: A165297 A249854 A237233 * A120216 A119902 A182092

Adjacent sequences:  A182037 A182038 A182039 * A182041 A182042 A182043

KEYWORD

nonn,base,fini,full,easy

AUTHOR

Jonathan Vos Post, Apr 09 2012

STATUS

approved

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Last modified December 2 21:35 EST 2016. Contains 278694 sequences.