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A010351
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Base-8 Armstrong or narcissistic numbers, written in base 8.
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8
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1, 2, 3, 4, 5, 6, 7, 24, 64, 134, 205, 463, 660, 661, 40663, 42710, 42711, 60007, 62047, 636703, 3352072, 3352272, 3451473, 4217603, 7755336, 16450603, 63717005, 233173324, 3115653067, 4577203604, 61777450236, 147402312024
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OFFSET
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1,2
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COMMENTS
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Whenever a term ends in 0, then a(n+1) = a(n) + 1 is also a term. Like the other single-digit terms, zero would satisfy the definition (n = Sum_{i=1..k} d[i]^k when d[1..k] are the base-8 digits of n), but here only positive numbers are considered. - M. F. Hasler, Nov 18 2019
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LINKS
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D. T. Winter, Table of Armstrong Numbers (latest backup on web.archive.org from Jan. 2010; page no longer available), published not later than Aug. 2003.
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EXAMPLE
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432 = 660_8 (= 6*8^2 + 6*8^1 + 0*8^0), and 6^3 + 6^3 + 0^3 = 432, therefore 660 is in the sequence. It's easy to see that 432 + 1 then also satisfies the equation, as for any term that is a multiple of 8. - M. F. Hasler, Nov 21 2019
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PROG
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CROSSREFS
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Cf. A010354 (a(n) written in base 10).
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KEYWORD
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base,fini,full,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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