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 A164295 Triangle T(n,k) read by rows: sum of the triangles A054521 and A051731. 1
 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Zeros in the table, for example T(6,4)=0, indicate that the row and column indices n and k are not coprime and in addition that there is a nonzero remainder n (mod k). LINKS FORMULA T(n,k)=A054521(n,k)+A051731(n,k), 1<=k<=n, 1<=n. EXAMPLE The table starts 2 2, 1 2, 1, 1 2, 1, 1, 1 2, 1, 1, 1, 1 2, 1, 1, 0, 1, 1 2, 1, 1, 1, 1, 1, 1 2, 1, 1, 1, 1, 0, 1, 1 2, 1, 1, 1, 1, 0, 1, 1, 1 2, 1, 1, 0, 1, 0, 1, 0, 1, 1 MAPLE A054521 := proc(n, k) if gcd(n, k) = 1 then 1; else 0 ; fi; end: A051731 := proc(n, k) if (n mod k) = 0 then 1; else 0 ; fi; end: A164295 := proc(n, k) A054521(n, k)+A051731(n, k) ; end: seq(seq(A164295(n, k), k=1..n), n=1..10) ; MATHEMATICA T[n_, k_] = If[Mod[n, k] == 0, 1, 0] + If[GCD[n, k] == 1, 1, 0]; Table[Table[T[n, k], {k, 1, n}], {n, 1, 10}]; Flatten[%] CROSSREFS Cf. A054521, A051731 Sequence in context: A025912 A029441 A109495 * A035214 A071292 A088569 Adjacent sequences:  A164292 A164293 A164294 * A164296 A164297 A164298 KEYWORD nonn,tabl AUTHOR Roger L. Bagula and Mats Granvik, Aug 12 2009 EXTENSIONS Edited by the Associate Editors of the OEIS, Aug 28 2009 STATUS approved

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