

A239694


Base 8 sum of digits of prime(n).


2



2, 3, 5, 7, 4, 6, 3, 5, 9, 8, 10, 9, 6, 8, 12, 11, 10, 12, 4, 8, 3, 9, 6, 5, 6, 10, 12, 9, 11, 8, 15, 5, 4, 6, 9, 11, 10, 9, 13, 12, 11, 13, 16, 4, 8, 10, 8, 13, 10, 12, 9, 15, 10, 13, 5, 11, 10, 12, 11, 8, 10, 13, 13, 17, 12, 16, 9, 8, 11, 13, 10, 16, 17, 16
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OFFSET

1,1


COMMENTS

a(n) is the rank of prime(n) in the base8 dominance order on the natural numbers.


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..10000
Tyler Ball and Daniel Juda, Dominance over N, RoseHulman Undergraduate Mathematics Journal, Vol. 13, No. 2, Fall 2013.


FORMULA

a(n) = A053829(A000040(n)).


EXAMPLE

The sixth prime is 13, 13 in base 8 is (1,5) so a(6)=1+5=6.


MATHEMATICA

Table[Plus @@ IntegerDigits[Prime[n], 8], {n, 1, 100}] (* Vincenzo Librandi, Mar 25 2014 *)


PROG

(Sage) [sum(i.digits(base=8)) for i in primes_first_n(200)]
(MAGMA) [&+Intseq(NthPrime(n), 8): n in [1..100]]; // Vincenzo Librandi, Mar 25 2014


CROSSREFS

Cf. A007605, A014499, A053829, A239690, A239691, A239692, A239693.
Sequence in context: A124322 A209037 A075241 * A097883 A290020 A178595
Adjacent sequences: A239691 A239692 A239693 * A239695 A239696 A239697


KEYWORD

nonn,base


AUTHOR

Tom Edgar, Mar 24 2014


STATUS

approved



