A143444 - OEIS

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

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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(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.

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: A347533 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