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A023662
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Convolution of odd numbers and primes.
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1
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2, 9, 24, 51, 96, 165, 264, 399, 576, 805, 1094, 1451, 1886, 2405, 3014, 3723, 4544, 5485, 6554, 7761, 9112, 10615, 12280, 14117, 16140, 18361, 20786, 23421, 26272, 29345, 32658, 36229, 40068, 44183, 48586, 53289, 58300, 63631, 69292
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..39.
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FORMULA
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a(n) = Sum_{i=0..n-1} A000040(n-i)*A005408(i). - R. J. Mathar, Nov 29 2015
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MAPLE
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A023662 := proc(n)
add( ithprime(n-i)*(2*i+1), i=0..n-1) ;
end proc: # R. J. Mathar, Nov 29 2015
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MATHEMATICA
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Table[Sum[Prime[n - k + 1] (2 k - 1), {k, n}], {n, 39}] (* Michael De Vlieger, Nov 29 2015 *)
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PROG
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(PARI) a(n) = sum(i=1, n, prime(n-i+1)*(2*i-1)); \\ Michel Marcus, Sep 30 2013
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CROSSREFS
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Sequence in context: A294872 A006002 A259969 * A131357 A274543 A356114
Adjacent sequences: A023659 A023660 A023661 * A023663 A023664 A023665
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling
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STATUS
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approved
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