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 A094414 Triangle T read by rows: dot product <1,2,...,r> * . 10
 1, 5, 4, 14, 11, 11, 30, 24, 22, 24, 55, 45, 40, 40, 45, 91, 76, 67, 64, 67, 76, 140, 119, 105, 98, 98, 105, 119, 204, 176, 156, 144, 140, 144, 156, 176, 285, 249, 222, 204, 195, 195, 204, 222, 249, 385, 340, 305, 280, 265, 260, 265, 280, 305, 340, 506, 451 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Offset for r (the rows) is 1, for s (the columns) it is 0. LINKS FORMULA T(r, s) = r(2r^2 + 3r - 3rs + 1 + 3s^2)/6, r >= 1, 0 <= s <= r - 1. EXAMPLE 1 5 4 14 11 11 30 24 22 24 55 45 40 40 45 91 76 67 64 67 76 MAPLE T:=proc(r, s) if s>=r then 0 else r*(2*r^2+3*r+1-3*r*s+3*s^2)/6 fi end: for r from 1 to 11 do seq(T(r, s), s=0..r-1) od; # yields sequence in triangular form # Emeric Deutsch, Nov 27 2006 CROSSREFS Columns 0-6 are A000330, A006527, A026037, A026040, A026043, A026046, A026049. Row sums are A000537. See also A094415, A088003. Sequence in context: A226555 A147685 A078930 * A158867 A107984 A133178 Adjacent sequences:  A094411 A094412 A094413 * A094415 A094416 A094417 KEYWORD nonn,tabl AUTHOR Ralf Stephan, May 02 2004 STATUS approved

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