A294517 Denominators of the partial sums of the reciprocals of (k+1)*(4*k+3) = A033991(k+1), for k >= 0.

3, 42, 154, 4620, 87780, 672980, 18170460, 1126568520, 1126568520, 14645390760, 629751802680, 29598334725960, 503171690341320, 100634338068264, 29687129730137880, 59374259460275760, 3978075383838475920, 282443352252531790320, 1412216761262658951600, 111565124139750057176400, 9259905303599254745641200

Offset

0,1

Comments

The corresponding numerators are given in A294516. See this for a reference, the definition of V(4,3;n), and the limit V(4,3).

Links

Table of n, a(n) for n=0..20.

Formula

a(n) = denominator(V(4,3;n)) with V(4,3;n) = Sum_{k=0..n} 1/((k + 1)*(4*k + 3)) = Sum_{k=0..n} 1/A033991(k+1) = Sum_{k=0..n} (4/(4*k + 3) - 1/(k+1)).

Example

For the rationals V(4,3;n) and the limit V(4,3) see A294516.

Crossrefs

Cf. A294516.

Sequence in context: A112291 A063040 A365594 * A015786 A229071 A220857

Adjacent sequences: A294514 A294515 A294516 * A294518 A294519 A294520

Keyword

nonn,frac,easy

Author

Wolfdieter Lang, Nov 07 2017

Status

approved