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Search: id:A143444
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| 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; listen)
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OFFSET
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1,2
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COMMENT
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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.
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FORMULA
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Mobius transform of the primes prefaced by 0.
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EXAMPLE
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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.
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CROSSREFS
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Cf. A000040, A051731, A055003.
Sequence in context: A076557 A140407 A063670 this_sequence A108346 A062761 A117524
Adjacent sequences: A143441 A143442 A143443 this_sequence A143445 A143446 A143447
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 15 2008
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EXTENSIONS
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a(12) replaced by 17 and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 19 2009
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