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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 (list; graph; refs; listen; history; text; internal format)
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: 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

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Last modified January 19 09:35 EST 2020. Contains 331048 sequences. (Running on oeis4.)