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Search: id:A132438
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| A132438 |
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Number of different values of i^2+j^2+k^2+l^2+m^2+n^2 for i,j,k,l,m,n in [0,n]. |
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+0
1
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| 1, 7, 22, 47, 82, 124, 183, 250, 326, 414, 513, 621, 749, 874, 1018, 1176, 1338, 1515, 1706, 1899, 2110, 2331, 2568, 2806, 3066, 3324, 3612, 3903, 4201, 4513, 4841, 5173, 5523, 5882, 6248, 6626, 7026, 7433, 7842, 8271, 8715
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Number of distinct sums of 6 squares of integers from 0 through n.
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EXAMPLE
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a(1) = 7 because the 7 distinct sums of squares from 0 through 1 are permutations of 1^2 + 1^1 + 1^2 + 1^2 + 1^2 + 1^2 = 6; 1^1 + 1^2 + 1^2 + 1^2 + 1^2 + 0^2 = 5; 1^1 + 1^2 + 1^2 + 1^2 + 0^2 + 0^2 = 4; 1^1 + 1^2 + 1^2 + 0^2 + 0^2 + 0^2 = 3; 1^1 + 1^2 + 0^2 + 0^2 + 0^2 + 0^2 = 2; 1^1 + 0^2 + 0^2 + 0^2 + 0^2 + 0^2 = 1; 0^2 + 0^1 + 0^2 + 0^2 + 0^2 + 0^2 = 0.
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MATHEMATICA
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Table[Length@ Union@Flatten@ Table[i^2 + j^2 + k^2 + l^2 + m^2 + n^2, {i, 0, p}, {j, i, p}, {k, j, p}, {l, k, p}, {m, l, p}, {n, m, p}], {p, 0, 40}]
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CROSSREFS
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Cf. A034966, A047800, A047801, A-number of the seq submitted a few minutes ago "Number of different values of i^2+j^2+k^+l^2+m^2 for i, j, k, l, m in [0, n].".
Sequence in context: A159227 A081274 A038764 this_sequence A010001 A014073 A129109
Adjacent sequences: A132435 A132436 A132437 this_sequence A132439 A132440 A132441
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 13 2007, Nov 14 2007
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