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A182739
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First differences of the partition numbers of the primes.
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1
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2, 1, 4, 8, 41, 45, 196, 193, 765, 3310, 2277, 14795, 22946, 18678, 61493, 205177, 501889, 289685, 1558184, 2017516, 1488484, 7662961, 9489819, 26657456, 83235005, 81250196, 56767824, 159900439, 110796851, 309430388, 3062487667, 2050675209, 5133105512
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OFFSET
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1,1
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COMMENTS
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This is the first prime 2, followed by the first differences of the partition numbers of primes.
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LINKS
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FORMULA
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EXAMPLE
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MAPLE
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with(combinat):
a:= n-> `if`(n=1, 2, (x->x[1]-x[2])(map(numbpart@ithprime, [n, n-1]))):
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MATHEMATICA
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Range[40] // Prime // PartitionsP // Differences // Prepend[#, 2]& (* Jean-François Alcover, Feb 21 2017 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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