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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 (list; graph; refs; listen; history; text; internal format)
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

Table of n, a(n) for n=1..54.

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

(Sage) [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

CROSSREFS

Cf. A018900, A187813.

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

Adjacent sequences:  A227092 A227093 A227094 * A227096 A227097 A227098

KEYWORD

nonn,base

AUTHOR

Tom Edgar, Sep 01 2013

STATUS

approved

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Last modified August 20 18:56 EDT 2019. Contains 326154 sequences. (Running on oeis4.)