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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
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
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.)