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 A246052 Triangle read by rows: denominator of h(n-k)*h(k)/h(n) where h(x) = zeta(2*x)*(4^x-2), 0<=k<=n. 5
 2, 2, 2, 2, 7, 2, 2, 62, 62, 2, 2, 381, 381, 381, 2, 2, 5110, 365, 365, 5110, 2, 2, 1414477, 2828954, 1414477, 2828954, 1414477, 2, 2, 1720110, 49146, 573370, 573370, 49146, 1720110, 2, 2, 16931177, 50793531, 1638501, 118518239, 1638501, 50793531, 16931177, 2 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Conjecture: A240978(n) divides T(n,k) for k in (1..n-1) and n>=2. LINKS Table of n, a(n) for n=0..44. EXAMPLE 2 2, 2 2, 7, 2 2, 62, 62, 2 2, 381, 381, 381, 2 2, 5110, 365, 365, 5110, 2 MAPLE h := x -> Zeta(2*x)*(4^x-2); A246052 := (n, k) -> denom(h(n-k)*h(k)/h(n)); seq(print(seq(A246052(n, k), k=0..n)), n=0..8); PROG (Sage) h = lambda n: zeta(2*n)*(4^n-2) A246052 = lambda n, k: (h(n-k)*h(k)/h(n)).denominator() for n in range(8): [A246052(n, k) for k in (0..n)] CROSSREFS Cf. A246051 (numerators), A240978, A246053. Sequence in context: A035470 A061292 A138068 * A054083 A270379 A337358 Adjacent sequences: A246049 A246050 A246051 * A246053 A246054 A246055 KEYWORD nonn,frac,tabl AUTHOR Peter Luschny, Aug 11 2014 STATUS approved

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Last modified April 24 00:30 EDT 2024. Contains 371917 sequences. (Running on oeis4.)