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A094660
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Number of permissible patterns of primes in a fixed interval.
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1
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0, 1, 2, 4, 6, 9, 12, 18, 24, 34, 44, 58, 72, 100, 128, 169, 210, 267, 324, 429, 534, 694, 854, 1064, 1274, 1657, 2040, 2571, 3102, 3780, 4458, 5801, 7144, 9067, 10990, 13472, 15954, 20356, 24758, 30607, 36456, 44280
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OFFSET
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0,3
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COMMENTS
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pp(w)=w+sumi(sumj((w-i+1)*pb(j,i)) were pb(j,i) is A023189.
Similar to A023192. (Here we ignore the empty pattern and start at 0.) These are called "admissible constellations" of primes. - Don Reble, Jun 12 2004.
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LINKS
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EXAMPLE
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pp(5)=9 because primes can exist in interval as x.... .x... ..x.. ...x. ....x x.x.. .x.x. ..x.x or x...x
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Thomas J Engelsma (tom(AT)opertech.com), Jun 09 2004
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STATUS
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approved
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