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A127324 Fourth 4-dimensional hyper-tetrahedral coordinate; 4-D analog of A056558. +0
7
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)
OFFSET

0,15

COMMENT

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)

FORMULA

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

EXAMPLE

See A127321 for a table of A127321, A127322, A127323, A127324

See A127327 for a table of A127324, A127325, A127326, A127327

CROSSREFS

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

KEYWORD

nonn

AUTHOR

Graeme McRae (g_m(AT)mcraefamily.com), Jan 10 2007

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Last modified December 19 12:50 EST 2009. Contains 171053 sequences.


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