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A127321 First 4-dimensional hyper-tetrahedral coordinate; repeat m C(m+3,4) times; 4-D analog of A056556. 8
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

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

Table of n, a(n) for n=0..104.

FORMULA

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)

EXAMPLE

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

CROSSREFS

Cf. A127322, A127323, A127324, A056556, A056557, A056558, A000332, A000292, A000217.

Sequence in context: A108622 A112348 A262303 * A111897 A185711 A185712

Adjacent sequences:  A127318 A127319 A127320 * A127322 A127323 A127324

KEYWORD

nonn

AUTHOR

Graeme McRae, Jan 10 2007

STATUS

approved

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Last modified January 22 05:11 EST 2019. Contains 319353 sequences. (Running on oeis4.)