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A226969
Numbers whose base-4 sum of digits is 4.
9
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
OFFSET
1,1
COMMENTS
Subsequence of A016777. - Michel Marcus, Sep 03 2013
In general, the set of numbers with sum of base-b digits equal to b is a subset of { (b-1)*k + 1; k = 2, 3, 4, ... }. - M. F. Hasler, Dec 23 2016
LINKS
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
(Python)
agen = A226636gen(sod=4, base=4) # generator of terms using code in A226636
print([next(agen) for n in range(1, 57)]) # Michael S. Branicky, Jul 10 2022
CROSSREFS
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: A026319 A120153 A375166 * A007770 A212979 A114961
KEYWORD
nonn,base
AUTHOR
Tom Edgar, Sep 01 2013
STATUS
approved