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A127323 Third 4-dimensional hyper-tetrahedral coordinate; 4-D analog of A056557. 9
0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,13
COMMENTS
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 analogs of the three-dimensional A056556, A056557 and A056558.
LINKS
FORMULA
For W>=X>=0, a(A000332(W+3)+A000292(X)+A000217(Y)) = a(A000332(W+3)+A000292(X)+A000217(Y+1)-1) = Y A127322(n+1) = A127321(n)==A127324(n) ? 0 : A127322(n)==A127324(n) ? 0 : A127323(n)==A127324(n) ? A127323(n)+1 : A127323(n)
EXAMPLE
a(23)=2 because a(A000332(2+3)+A000292(2)+A000217(2)) = a(A000332(2+3)+A000292(2)+A000217(2+1)-1) = 2, so a(22) = a(24) = 2.
See A127321 for a table of A127321, A127322, A127323, A127324.
CROSSREFS
Sequence in context: A258133 A327152 A123186 * A327298 A132896 A089789
KEYWORD
nonn
AUTHOR
Graeme McRae, Jan 10 2007
STATUS
approved

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Last modified March 29 08:13 EDT 2024. Contains 371265 sequences. (Running on oeis4.)