

A143444


A054525 * the primes prefaced by 0.


1



0, 2, 3, 3, 7, 6, 13, 12, 16, 14, 29, 17, 37, 26, 33, 30, 53, 32, 61, 41, 55, 42, 79, 40, 82, 58, 82, 59, 107, 44, 113, 80, 99, 82, 119, 70, 151, 94, 123, 88, 173, 74, 181, 115, 134, 116, 199, 98, 210, 122, 173, 133, 239, 100, 215, 142, 199, 160, 271, 107, 281, 168, 206
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OFFSET

1,2


COMMENTS

a(5) = 7 = (1, 0, 0, 0, 1) dot (0, 2, 3, 5, 7).
a(p(n)) = p(n1) since prime rows of the Mobius transform have only one nonzero multiplier besides the (1) which is multiplied * the 0 in (0, 2, 3, 5, 7,...). Cf. A055003: (1, 3, 7, 13, 29, 37,...) a subset of primes in the sequences, but other terms may be primes.


LINKS

Table of n, a(n) for n=1..63.


FORMULA

Mobius transform of the primes prefaced by 0.


EXAMPLE

a(6) = 6 = (1, 1, 1, 0, 0, 1) dot (0, 2, 3, 5, 7, 11) where (1, 1, 1, 0, 0, 1) = row 6 of A051731, the Mobius transform.


CROSSREFS

Cf. A000040, A051731, A055003.
Sequence in context: A185909 A193713 A171824 * A108346 A210558 A208920
Adjacent sequences: A143441 A143442 A143443 * A143445 A143446 A143447


KEYWORD

nonn


AUTHOR

Gary W. Adamson, Aug 15 2008


EXTENSIONS

a(12) replaced by 17 and extended by R. J. Mathar, Jan 19 2009


STATUS

approved



