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 A140822 Triangle T(n,m) = binomial(n,gcd(n,m)) read by rows, 0<=m<=n. 0
 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, 4, 1, 1, 5, 5, 5, 5, 1, 1, 6, 15, 20, 15, 6, 1, 1, 7, 7, 7, 7, 7, 7, 1, 1, 8, 28, 8, 70, 8, 28, 8, 1, 1, 9, 9, 84, 9, 9, 84, 9, 9, 1, 1, 10, 45, 10, 45, 252, 45, 10, 45, 10, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Row sums are 1, 2, 4, 8, 16, 22, 64, 44, 160, 224, 474,... LINKS FORMULA T(n,m) = A007318(n,A109004(n,m)). EXAMPLE 1; 1, 1; 1, 2, 1; 1, 3, 3, 1; 1, 4, 6, 4, 1; 1, 5, 5, 5, 5, 1; 1, 6, 15, 20, 15, 6, 1; 1, 7, 7, 7, 7, 7, 7, 1; 1, 8, 28, 8, 70, 8, 28, 8, 1; 1, 9, 9, 84, 9, 9, 84, 9, 9, 1; 1, 10, 45, 10, 45, 252, 45, 10, 45, 10, 1; MATHEMATICA a = Table[Table[Binomial[n, GCD[n, m]], {m, 0, n}], {n, 0, 10}]; Flatten[a] CROSSREFS Sequence in context: A034930 A095142 A180171 * A212954 A299807 A089239 Adjacent sequences:  A140819 A140820 A140821 * A140823 A140824 A140825 KEYWORD nonn,easy,tabl AUTHOR Roger L. Bagula and Gary W. Adamson, Jul 16 2008 EXTENSIONS Offset corrected by R. J. Mathar, Nov 07 2011 STATUS approved

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Last modified December 7 22:50 EST 2021. Contains 349590 sequences. (Running on oeis4.)