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A228821 Triangle read by rows in which row n lists the F-ranks of all compositions of n in nondecreasing order, n >= 0. 1
0, -1, 1, -2, -1, 0, 3, -3, -2, -2, -1, -1, 0, 2, 7, -4, -3, -3, -3, -2, -2, -2, -2, -1, -1, -1, 0, 1, 2, 6, 15, -5, -4, -4, -4, -4, -3, -3, -3, -3, -3, -3, -3, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, 0, 0, 1, 1, 2, 5, 6, 14, 31, -6, -5, -5, -5, -5 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Also row n lists the L-ranks of all compositions of n in nondecreasing order. For the definition of both F-rank and L-rank of a composition see A228820.

Row sums is always 0.

Row lengths is A000079.

Column 1 is -1*A001477(n).

Right border gives A000225.

Row sums of nonnegative terms give A228820.

LINKS

Table of n, a(n) for n=1..68.

EXAMPLE

Triangle begins:

0;

-1,  1;

-2, -1,  0,  3;

-3, -2, -2, -1, -1,  0,  2,  7;

-4, -3, -3, -3, -2, -2, -2, -2, -1, -1, -1, 0, 1, 2, 6, 15;

-5, -4, -4, -4, -4, -3, -3, -3, -3, -3, -3, -3, -2, -2,  -2, -2, -2, -2, -2, -1, -1, -1, -1, 0, 0, 1, 1, 2, 5, 6, 14, 31;

CROSSREFS

Cf. A000079, A000225, A001477, A011782, A001511, A001792, A195012, A209616, A228369, A228525, A228820.

Sequence in context: A316781 A290733 A113020 * A127258 A154557 A049242

Adjacent sequences:  A228818 A228819 A228820 * A228822 A228823 A228824

KEYWORD

sign,tabf

AUTHOR

Omar E. Pol, Sep 05 2013

STATUS

approved

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Last modified March 22 10:07 EDT 2019. Contains 321421 sequences. (Running on oeis4.)