

A194849


Write n = C(i,3)+C(j,2)+C(k,1) with i>j>k>=0; let L[n] = [i,j,k]; sequence gives list of triples L[n], n >= 0.


5



2, 1, 0, 3, 1, 0, 3, 2, 0, 3, 2, 1, 4, 1, 0, 4, 2, 0, 4, 2, 1, 4, 3, 0, 4, 3, 1, 4, 3, 2, 5, 1, 0, 5, 2, 0, 5, 2, 1, 5, 3, 0, 5, 3, 1, 5, 3, 2, 5, 4, 0, 5, 4, 1, 5, 4, 2, 5, 4, 3, 6, 1, 0, 6, 2, 0, 6, 2, 1, 6, 3, 0, 6, 3, 1, 6, 3, 2, 6, 4, 0, 6, 4, 1, 6, 4, 2, 6, 4, 3, 6, 5, 0, 6, 5, 1, 6, 5, 2, 6, 5, 3, 6, 5, 4, 7, 1, 0, 7, 2, 0, 7, 2, 1, 7, 3, 0, 7, 3, 1, 7, 3, 2, 7, 4
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OFFSET

0,1


REFERENCES

D. E. Knuth, The Art of Computer Programming, vol. 4A, Combinatorial Algorithms, Section 7.2.1.3, Eq. (20), p. 360.


LINKS

Table of n, a(n) for n=0..124.


EXAMPLE

List of triples begins:
[2, 1, 0]
[3, 1, 0]
[3, 2, 0]
[3, 2, 1]
[4, 1, 0]
[4, 2, 0]
[4, 2, 1]
[4, 3, 0]
[4, 3, 1]
[4, 3, 2]
...


CROSSREFS

The three columns are [A194847, A194848, A056558], or equivalently [A056556+2, A056557+1, A056558]. See A194847 for further information.
Sequence in context: A280494 A168016 A029323 * A071802 A110355 A219659
Adjacent sequences: A194846 A194847 A194848 * A194850 A194851 A194852


KEYWORD

nonn,tabf


AUTHOR

N. J. A. Sloane, Sep 03 2011


STATUS

approved



