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%I #4 Mar 30 2012 18:40:38
%S 1,11,22,42,163,264,374,485,605,726,926,1127,1337,1548,1768,1989,2289,
%T 2590,2900,3211,3531,3852,4252,4653,5063,5474,5894,6315,7315,8316,
%U 9326,10337,11357,12378,13478,14579,15689,16800,17920,19041,20241,21442
%N Integers 1 through n written in primorial base, summed as if decimal.
%C cf. A049345 n written in primorial base [Places reading from right have values (1, 2, 6, 30, 210, ...) = primorials]. Primes in this sequence are a(2) = 11, a(6) = 163, a(33) = 10337.
%e a(1) = A049345(1) = 1.
%e a(2) = A049345(1) + A049345(2) = 1 + 10 = 11.
%e a(3) = A049345(1) + A049345(2) + A049345(3) = 1 + 10 + 11 = 22.
%e a(4) = 1 + 10 + 11 + 20 = 42.
%e a(5) = 1 + 10 + 11 + 20 + 21 = 63.
%e a(6) = 1 + 10 + 11 + 20 + 21 + 100 = 163.
%e a(33) = 1 + 10 + 11 + 20 + 21 + 100 + 101 + 110 + 111 + 120 + 121 + 200 + 201 + 210 + 211 + 220 + 221 + 300 + 301 + 310 + 311 + 320 + 321 + 400 + 401 + 410 + 411 + 420 + 421 + 1000 + 1001 + 1010 + 1011 = 10337.
%Y Cf. Primorials: A002110, factorial base A007623, A000040, A001358, A007088, A004676, A020767, A038506, A067894, A067895, A121718, A122466, A122467.
%K base,easy,nonn
%O 1,2
%A _Jonathan Vos Post_, Sep 20 2006
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