A371332 Decimal expansion of Sum_{k>=1} 1/(k^(1/4)*(1+k)).
3, 7, 4, 7, 8, 3, 4, 7, 4, 3, 8, 4, 4, 8, 8, 7, 5, 7, 7, 8, 8, 8, 0, 5, 4, 6, 3, 5, 8, 9, 7, 6, 9, 3, 7, 6, 6, 7, 1, 1, 4, 8, 7, 3, 3, 2, 7, 7, 7, 3, 0, 0, 8, 8, 7, 7, 9, 4, 5, 2, 9, 5, 6, 9, 2, 5, 5, 5, 4, 7, 4, 0, 7, 1, 2, 3, 4, 7, 3, 7, 6, 1, 1, 8, 8, 7, 1, 5, 2, 1, 5
Offset: 1
Examples
3.7478347438448875778880546...
Programs
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PARI
sumalt(i=0,(-1)^i*zeta(5/4+i)) \\ Hugo Pfoertner, Mar 19 2024
Formula
Equals Sum_{i>=0} (-1)^i*zeta(5/4+i).