A371332 -id:A371332 - cp's OEIS frontend

A371331 Decimal expansion of Sum_{k>=1} 1/(k^(1/3)*(1+k)).

2, 7, 9, 0, 0, 1, 8, 2, 9, 3, 0, 9, 7, 1, 5, 3, 3, 2, 9, 9, 3, 3, 5, 6, 2, 7, 6, 2, 2, 0, 5, 3, 8, 7, 3, 4, 9, 5, 6, 2, 9, 3, 7, 3, 1, 5, 8, 4, 8, 4, 9, 2, 2, 4, 4, 1, 2, 4, 0, 0, 5, 8, 3, 8, 9, 2, 0, 8, 4, 6, 9, 0, 9, 0, 1, 0, 9, 4, 5, 4, 5, 3, 7, 7, 5, 8, 6, 1, 9, 2, 0

Offset: 1

R. J. Mathar, Mar 19 2024

			2.790018293097153329933562762205...

Cf. A226317 (for k^1/2), A371332 (k^1/4), A371333 (k^1/5).

sumalt(i=0,(-1)^i*zeta(4/3+i)) \\ Hugo Pfoertner, Mar 19 2024

Equals Sum_{i>=0} (-1)^i*zeta(4/3+i).

A371333 Decimal expansion of Sum_{k>=1} 1/(k^(1/5)*(1+k)).

Original entry on oeis.org

4, 7, 1, 9, 6, 1, 7, 5, 3, 8, 1, 6, 2, 6, 1, 4, 4, 8, 3, 6, 0, 5, 7, 8, 2, 7, 2, 4, 0, 0, 1, 3, 2, 3, 1, 1, 5, 4, 7, 5, 7, 1, 0, 5, 1, 1, 1, 9, 8, 2, 8, 4, 3, 7, 6, 6, 2, 1, 0, 8, 2, 5, 8, 5, 7, 0, 6, 2, 6, 4, 8, 6, 1, 3, 9, 2, 3, 1, 0, 8, 9, 1, 9, 0, 9, 4, 9, 2, 2, 2, 0

Offset: 1

R. J. Mathar, Mar 19 2024

			4.71961753816261448360578272400...

Cf. A226317 (for k^1/2), A371331 (k^1/3), A371332 (k^1/4).

sumalt(i=0,(-1)^i*zeta(6/5+i)) \\ Hugo Pfoertner, Mar 19 2024

Equals Sum_{i>=0} (-1)^i*zeta(6/5+i).

cp's OEIS Frontend

A371331 Decimal expansion of Sum_{k>=1} 1/(k^(1/3)*(1+k)).

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