

A226969


Numbers whose base4 sum of digits is 4.


8



7, 10, 13, 19, 22, 25, 28, 34, 37, 40, 49, 52, 67, 70, 73, 76, 82, 85, 88, 97, 100, 112, 130, 133, 136, 145, 148, 160, 193, 196, 208, 259, 262, 265, 268, 274, 277, 280, 289, 292, 304, 322, 325, 328, 337, 340, 352, 385, 388, 400, 448, 514, 517, 520, 529, 532
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OFFSET

1,1


COMMENTS

Subsequence of A016777.  Michel Marcus, Sep 03 2013
In general, the set of numbers with sum of baseb digits equal to b is a subset of { (b1)*k + 1; k = 2, 3, 4, ... }.  M. F. Hasler, Dec 23 2016


LINKS

Table of n, a(n) for n=1..56.


EXAMPLE

The quaternary expansion of 13 is (3,1), which has sum of digits 4.
The quaternary expansion of 40 is (2,2,0), which has sum of digits 4.
17 is not on the list since the quaternary expansion of 17 is (1,0,1), which has sum of digits 2 not 4.


MATHEMATICA

Select[Range@ 540, Total@ IntegerDigits[#, 4] == 4 &] (* Michael De Vlieger, Dec 23 2016 *)


PROG

(Sage) [i for i in [0..1000] if sum(Integer(i).digits(base=4))==4]
(PARI) select( is(n)=sumdigits(n, 4)==4, [1..999]) \\ M. F. Hasler, Dec 23 2016


CROSSREFS

Cf. A018900, A187813.
Cf. A226636 (b = 3), A227062 (b = 5), A227080 (b = 6), A227092 (b = 7), A227095 (b = 8), A227238 (b = 9), A052224 (b = 10).
Sequence in context: A327137 A026319 A120153 * A007770 A212979 A114961
Adjacent sequences: A226966 A226967 A226968 * A226970 A226971 A226972


KEYWORD

nonn,base


AUTHOR

Tom Edgar, Sep 01 2013


STATUS

approved



