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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 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.)