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A122613 Integers 1 through n written in primorial base, summed as if decimal. 0
1, 11, 22, 42, 163, 264, 374, 485, 605, 726, 926, 1127, 1337, 1548, 1768, 1989, 2289, 2590, 2900, 3211, 3531, 3852, 4252, 4653, 5063, 5474, 5894, 6315, 7315, 8316, 9326, 10337, 11357, 12378, 13478, 14579, 15689, 16800, 17920, 19041, 20241, 21442 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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.

LINKS

Table of n, a(n) for n=1..42.

EXAMPLE

a(1) = A049345(1) = 1.

a(2) = A049345(1) + A049345(2) = 1 + 10 = 11.

a(3) = A049345(1) + A049345(2) + A049345(3) = 1 + 10 + 11 = 22.

a(4) = 1 + 10 + 11 + 20 = 42.

a(5) = 1 + 10 + 11 + 20 + 21 = 63.

a(6) = 1 + 10 + 11 + 20 + 21 + 100 = 163.

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.

CROSSREFS

Cf. Primorials: A002110, factorial base A007623, A000040, A001358, A007088, A004676, A020767, A038506, A067894, A067895, A121718, A122466, A122467.

Sequence in context: A144378 A026037 A266088 * A115768 A242958 A005015

Adjacent sequences:  A122610 A122611 A122612 * A122614 A122615 A122616

KEYWORD

base,easy,nonn

AUTHOR

Jonathan Vos Post, Sep 20 2006

STATUS

approved

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Last modified October 17 16:42 EDT 2018. Contains 316286 sequences. (Running on oeis4.)