

A337572


Numbers having at least one 4 in their representation in base 5.


14



4, 9, 14, 19, 20, 21, 22, 23, 24, 29, 34, 39, 44, 45, 46, 47, 48, 49, 54, 59, 64, 69, 70, 71, 72, 73, 74, 79, 84, 89, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 129, 134
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OFFSET

1,1


COMMENTS

Complementary sequence to A020654.


LINKS

François Marques, Table of n, a(n) for n = 1..10000


EXAMPLE

75 is not in the sequence since it is 300_5 in base 5, but 74 is in the sequence since it is 244_5 in base 5.


MAPLE

seq(`if`(numboccur(4, convert(n, base, 5))>0, n, NULL), n=0..100);


MATHEMATICA

Select[ Range[ 0, 100 ], (Count[ IntegerDigits[ #, 5 ], 4 ]>0)& ]


PROG

(PARI) isok(m) = #select(x>(x==4), digits(m, 5)) >= 1; \\ Michel Marcus, Sep 20 2020


CROSSREFS

Cf. Numbers with at least one digit b1 in base b : A074940 (b=3), A337250 (b=4), this sequence (b=5), A333656 (b=6), A337141 (b=7), A337239 (b=8), A338090 (b=9), A011539 (b=10), A095778 (b=11).
Cf. Numbers with no digit b1 in base b: A005836 (b=3), A023717 (b=4), A020654 (b=5), A037465 (b=6), A020657 (b=7), A037474 (b=8), A037477 (b=9), A007095 (b=10), A171397 (b=11).
Sequence in context: A313080 A313081 A100213 * A043365 A023738 A070799
Adjacent sequences: A337569 A337570 A337571 * A337573 A337574 A337575


KEYWORD

nonn,base,easy


AUTHOR

François Marques, Sep 19 2020


STATUS

approved



