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 A114219 Number triangle (k-(k-1)*0^(n-k))*[k<=n]. 5
 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 3, 1, 0, 1, 2, 3, 4, 1, 0, 1, 2, 3, 4, 5, 1, 0, 1, 2, 3, 4, 5, 6, 1, 0, 1, 2, 3, 4, 5, 6, 7, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 COMMENTS Row sums are n(n-1)/2+1 (essentially A000124). Diagonal sums are A114220. First difference triangle of A077028, when this is viewed as a number triangle. The matrix inverse is 1; 0,1; 0,-1,1; 0,1,-2,1; 0,-2,4,-3,1; 0,6,-12,9,-4,1; 0,-24,48,-36,16,-5,1; 0,120,-240,180,-80,25,-6,1; 0,-720,1440,-1080,480,-150,36,-7,1; .. apparently related to A208058. - R. J. Mathar, Mar 22 2013 LINKS EXAMPLE Triangle begins 1; 0, 1; 0, 1, 1; 0, 1, 2, 1; 0, 1, 2, 3, 1; 0, 1, 2, 3, 4, 1; 0, 1, 2, 3, 4, 5, 1; 0, 1, 2, 3, 4, 5, 6, 1; 0, 1, 2, 3, 4, 5, 6, 7, 1; MAPLE A114219 := proc(n, k)     if k < 0 or k > n then         0;     elif n = k then         1;     else         k ;     end if; end proc: # R. J. Mathar, Mar 22 2013 CROSSREFS Sequence in context: A168318 A174203 A308151 * A119339 A037835 A116433 Adjacent sequences:  A114216 A114217 A114218 * A114220 A114221 A114222 KEYWORD easy,nonn,tabl AUTHOR Paul Barry, Nov 18 2005 STATUS approved

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Last modified September 20 10:51 EDT 2021. Contains 347584 sequences. (Running on oeis4.)