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A003333
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Numbers that are the sum of 10 positive cubes.
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42
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10, 17, 24, 31, 36, 38, 43, 45, 50, 52, 57, 59, 62, 64, 66, 69, 71, 73, 76, 78, 80, 83, 85, 87, 88, 90, 92, 94, 95, 97, 99, 101, 102, 104, 106, 108, 109, 111, 113, 114, 115, 116, 118, 120, 121, 122, 123, 125, 127, 128, 129, 130, 132, 134, 135, 136, 137, 139, 140, 141, 142
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OFFSET
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1,1
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COMMENTS
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374 is the largest of only 99 positive integers not in this sequence. - M. F. Hasler, Aug 13 2020
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LINKS
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FORMULA
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EXAMPLE
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1646 is in the sequence as 1646 = 4^3 + 4^3 + 4^3 + 4^3 + 4^3 + 4^3 + 4^3 + 7^3 + 7^3 + 8^3.
2790 is in the sequence as 2790 = 4^3 + 4^3 + 5^3 + 5^3 + 5^3 + 6^3 + 6^3 + 7^3 + 8^3 + 10^3.
3450 is in the sequence as 3450 = 5^3 + 5^3 + 5^3 + 5^3 + 5^3 + 7^3 + 8^3 + 8^3 + 9^3 + 9^3. (End)
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PROG
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(PARI) (A003333_upto(N)=select( {is_A003333(n, k=10, m=3, L=sqrtnint(abs(n-k+1), m))=if( n>k*L^m || n<k, 0, n<k*L^m, forstep(r=min(k-1, n\L^m), 0, -1, self()(n-r*L^m, k-r, m, L-1) && return(1)), 1)}, [1..N]))(200) \\ M. F. Hasler, Aug 02 2020
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CROSSREFS
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Other sequences of numbers that are the sum of x nonzero y-th powers:
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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