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A308855
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Sum of the smallest parts in the partitions of n into 5 primes.
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5
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 7, 6, 7, 6, 12, 8, 14, 12, 18, 12, 27, 14, 30, 18, 33, 22, 48, 22, 53, 26, 62, 28, 71, 30, 87, 36, 92, 42, 113, 38, 127, 48, 139, 52, 159, 52, 190, 60, 190, 68, 233, 66, 264, 76, 275, 82, 308, 82, 359, 90, 370
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OFFSET
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0,11
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LINKS
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FORMULA
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a(n) = Sum_{l=1..floor(n/5)} Sum_{k=l..floor((n-l)/4)} Sum_{j=k..floor((n-k-l)/3)} Sum_{i=j..floor((n-j-k-l)/2)} c(l) * c(k) * c(j) * c(i) * c(n-i-j-k-l) * l, where c = A010051.
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MATHEMATICA
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Table[Sum[Sum[Sum[Sum[l (PrimePi[l] - PrimePi[l - 1]) (PrimePi[k] - PrimePi[k - 1]) (PrimePi[j] - PrimePi[j - 1]) (PrimePi[i] - PrimePi[i - 1]) (PrimePi[n - i - j - k - l] - PrimePi[n - i - j - k - l - 1]), {i, j, Floor[(n - j - k - l)/2]}], {j, k, Floor[(n - k - l)/3]}], {k, l, Floor[(n - l)/4]}], {l, Floor[n/5]}], {n, 0, 50}]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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