A143444 A054525 * the primes prefaced by 0.

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

Offset: 1

Author

Gary W. Adamson, Aug 15 2008

Keywords

• nonn

Comments

a(5) = 7 = (-1, 0, 0, 0, 1) dot (0, 2, 3, 5, 7).

a(p(n)) = p(n-1) 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.

Examples

			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.

Formula

Mobius transform of the primes prefaced by 0.

Extensions

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