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Search: id:A127324
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| A127324 |
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Fourth 4-dimensional hyper-tetrahedral coordinate; 4-D analog of A056558. |
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+0
7
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| 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 3, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 3, 0, 0, 1, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 3, 4, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 3, 0, 0, 1, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 3, 4
(list; graph; listen)
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OFFSET
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0,15
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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.
Contribution from Peter Luschny (peter(AT)luschny.de), Jul 14 2009: (Start)
This is a 'Matryoshka doll' sequence with alpha=0 (cf. A055462 and A000332),
seq(seq(seq(seq(i,i=alpha..k),k=alpha..n),n=alpha..m),m=alpha..4). (End)
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FORMULA
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For W>=X>=Y>=Z>=0, a(A000332(W+3)+A000292(X)+A000217(Y)+Z) = Z A127322(n+1) = A127321(n)==A127324(n) ? 0 : A127322(n)==A127324(n) ? 0 : A127323(n)==A127324(n) ? 0 : A127324(n)+1
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EXAMPLE
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See A127321 for a table of A127321, A127322, A127323, A127324
See A127327 for a table of A127324, A127325, A127326, A127327
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CROSSREFS
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Cf. A127321, A127322, A127323, A056556, A056557, A056558, A000332, A000292, A000217.
Sequence in context: A008442 A086076 A085981 this_sequence A083917 A117974 A156062
Adjacent sequences: A127321 A127322 A127323 this_sequence A127325 A127326 A127327
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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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