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Search: id:A127321
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| A127321 |
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First 4-dimensional hyper-tetrahedral coordinate; repeat m C(m+3,4) times; 4-D analog of A056556. |
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+0
6
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| 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5
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OFFSET
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0,6
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COMMENT
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If {(W,X,Y,Z)} are 4-tuples of nonnegative integers with W>=X>=Y>=Z ordered by W, X, Y, and Z, then W=A127321(n), X=A127322(n), Y=A127323(n) and Z=A127324(n). These sequences are the four-dimensional analogues of the three-dimensional A056556, A056557, and A056558.
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FORMULA
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For W>=0, a(A000332(W+3)) = a(A000332(W+4)-1) = W A127321(n+1) = A127321(n)==A127324(n) ? A127321(n)+1 : A127321(n)
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EXAMPLE
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a(23)=3 because a(A000332(3+3)) = a(A000332(3+4)-1) = 3, so a(15) = a(34) = 3.
Table of A127321, A127322, A127323, A127324:
n W,X,Y,Z
0 0,0,0,0
1 1,0,0,0
2 1,1,0,0
3 1,1,1,0
4 1,1,1,1
5 2,0,0,0
6 2,1,0,0
7 2,1,1,0
8 2,1,1,1
9 2,2,0,0
10 2,2,1,0
11 2,2,1,1
12 2,2,2,0
13 2,2,2,1
14 2,2,2,2
15 3,0,0,0
16 3,1,0,0
17 3,1,1,0
18 3,1,1,1
19 3,2,0,0
20 3,2,1,0
21 3,2,1,1
22 3,2,2,0
23 3,2,2,1
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CROSSREFS
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Cf. A127322, A127323, A127324, A056556, A056557, A056558, A000332, A000292, A000217.
Sequence in context: A085576 A108622 A112348 this_sequence A111897 A135665 A135662
Adjacent sequences: A127318 A127319 A127320 this_sequence A127322 A127323 A127324
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KEYWORD
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nonn
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AUTHOR
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Graeme McRae (g_m(AT)mcraefamily.com), Jan 10 2007
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