

A301801


a(n) = smallest integer not yet in the sequence with no digits in common with a(n1), a(n2), a(n3), and a(n4); a(0)=0, a(1)=1, a(2)=2, a(3)=3.


1



0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 22, 33, 44, 55, 11, 20, 36, 47, 58, 19, 200, 63, 74, 85, 91, 202, 66, 34, 57, 18, 29, 60, 43, 75, 81, 92, 600, 333, 45, 17, 28, 69, 30, 54, 71, 82, 96, 300, 444, 15, 27, 68, 39, 40, 51, 72, 86, 93, 400, 111, 25, 67, 38, 49, 100
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OFFSET

0,3


COMMENTS

The first differences of this sequence are symmetrically distributed in a distribution that has a larger kurtosis than the Normal distribution.
It seems that appart from the initial terms, 39 and 40 are the only consecutive terms.
Unlike A298482, 3digit terms appear as early as a(22)=200.


LINKS

Table of n, a(n) for n=0..65.
Rémy Sigrist, PARI program for A301801


MATHEMATICA

Nest[Append[#, Block[{k = 4, d}, While[Nand[FreeQ[#, k], ! IntersectingQ[Union@ Apply[Join, Take[#[[All, 1]], 4] ], Set[d, IntegerDigits[k]]] ], k++]; {k, d}]] &, Transpose@ {#, IntegerDigits@ #} &@ Range[0, 3], 62][[All, 1]] (* Michael De Vlieger, Apr 12 2018 *)


PROG

(PARI) See Links section.


CROSSREFS

Cf. A067581, A276633, A298482.
Sequence in context: A030283 A276633 A298482 * A308540 A179310 A114806
Adjacent sequences: A301798 A301799 A301800 * A301802 A301803 A301804


KEYWORD

nonn,base


AUTHOR

Enrique Navarrete, Mar 26 2018


STATUS

approved



