

A329028


The least missing nonzero digit in the primorial base expansion of n.


5



1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 3, 3, 1, 3, 3, 3, 1, 3, 1, 2, 2, 2, 1, 4, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 4, 4, 2, 2, 2, 2, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 1, 3, 1, 4, 4, 4, 1, 4, 1, 3, 3, 3, 1, 3, 1, 2, 2, 2, 1, 4, 2, 2, 2, 2, 4, 4, 1, 4, 4, 4
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OFFSET

0,2


LINKS

Antti Karttunen, Table of n, a(n) for n = 0..32786
Index entries for sequences related to primorial base


FORMULA

a(n) = A134193(A276086(n)) = A257993(A328835(n)).
a(A276086(n)) = A329030(n).


EXAMPLE

19 in primorial base (A049345) is written as "301". The least missing nonzero digit is 2, thus a(19) = 2.
809 in primorial base is written as "35421". The least missing nonzero digit is 6, thus a(809) = 6, and this is also the first position where 6 appears in this sequence.


PROG

(PARI) A329028(n) = { my(m=Map(), p=2); while(n, mapput(m, (n%p), 1); n = n\p; p = nextprime(1+p)); for(k=1, oo, if(!mapisdefined(m, k), return(k))); };


CROSSREFS

Cf. A049345, A134193, A257993, A276086, A328835, A329027, A329030.
Cf. A328840 (the positions of ones in this sequence).
Cf. A257079 for analogous sequence.
Sequence in context: A194326 A295277 A194290 * A257079 A260372 A037180
Adjacent sequences: A329025 A329026 A329027 * A329029 A329030 A329031


KEYWORD

nonn,base


AUTHOR

Antti Karttunen, Nov 03 2019


STATUS

approved



