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URL: https://oeis.org/A227095

⇱ A227095 - OEIS

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A227095
Numbers whose base-8 sum of digits is 8.
9
15, 22, 29, 36, 43, 50, 57, 71, 78, 85, 92, 99, 106, 113, 120, 134, 141, 148, 155, 162, 169, 176, 197, 204, 211, 218, 225, 232, 260, 267, 274, 281, 288, 323, 330, 337, 344, 386, 393, 400, 449, 456, 519, 526, 533, 540, 547, 554, 561, 568, 582, 589, 596, 603
OFFSET
1,1
COMMENTS
Subsequence of A016993. - 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 8-ary expansion of 15 is (1,7), which has sum of digits 8.
The 8-ary expansion of 78 is (1,1,6), which has sum of digits 8.
10 is not on the list since the 8-ary expansion of 10 is (1,2), which has sum of digits 3 not 8.
MATHEMATICA
Select[Range@ 603, Total@ IntegerDigits[#, 8] == 8 &] (* Michael De Vlieger, Dec 23 2016 *)
PROG
(SageMath) [i for i in [0..1000] if sum(Integer(i).digits(base=8))==8]
(PARI) select( is(n)=sumdigits(n, 8)==8, [1..999]) \\ M. F. Hasler, Dec 23 2016
(Python)
agen = A226636gen(sod=8, base=8) # generator of terms using code in A226636
print([next(agen) for n in range(1, 55)]) # Michael S. Branicky, Jul 10 2022
CROSSREFS
Cf. A226636 (b = 3), A226969 (b = 4), A227062 (b = 5), A227080 (b = 6), A227092 (b = 7), A227095 (b = 8), A227238 (b = 9), A052224 (b = 10).
Sequence in context: A092783 A108638 A076379 * A038753 A006615 A114867
KEYWORD
nonn,base
AUTHOR
Tom Edgar, Sep 01 2013
STATUS
approved