A227095 Numbers whose base-8 sum of digits is 8.

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

Michael S. Branicky, Table of n, a(n) for n = 1..10000

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
(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. 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