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Search: id:A118480
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| A118480 |
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(n-th 4k+1 prime minus n-th 4k+3 prime less two)/4. |
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+0
1
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| 0, 1, 1, 2, 3, 2, 2, 3, 3, 5, 6, 5, 6, 2, 7, 5, 6, 8, 7, 7, 7, 12, 10, 10, 11, 11, 12, 10, 10, 12, 11, 13, 10, 10, 10, 10, 9, 8, 7, 9, 3, 4, 4, 4, 11, 13, 15, 17, 19, 19, 22, 19, 16, 13, 17, 16, 15, 16, 14, 17, 16, 21, 24, 19, 19, 13, 17, 17, 19, 19, 16, 11, 13, 13, 22, 19, 19, 17, 22
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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Zero occurs infinitely often as do the negative numbers.
First occurrence of a(n) beginning with 0: 1, 2, 4, 5, 42, 10, 11, 15, 18, 37, 23, 25, 22, 32, 59, 47, 53, 48, 83, 49, 110, 62, 51, 82, 63, 170, ...,
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FORMULA
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(A002144(n) - A002145(n) - 2)/4.
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MATHEMATICA
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(Select[1 + 4Range@245, PrimeQ@# &] - Select[ -1 + 4Range@225, PrimeQ@# &] - 2)/4 %Y A000001 Cf. A022757, A007350, A007351, A038691.
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CROSSREFS
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Sequence in context: A079294 A076733 A079643 this_sequence A104377 A109337 A137266
Adjacent sequences: A118477 A118478 A118479 this_sequence A118481 A118482 A118483
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu) and Robert G. Wilson v (rgwv(AT)rgwv.com), May 04 2006
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