A297127 a(n) = (1/2) * Sum_{|k|<2*sqrt(p)} A297122(4*p-k^2) where p is n-th prime.

33703, 359788, 7410526, 55075448, 823614244, 2238479798, 11171417938, 21787752284, 68501592808, 275166205414, 410273756384, 1185793577918, 2195777500954, 2921567789828, 4984278115408, 10240918233838, 19486182370804, 23813901313094, 41782891225388

Offset

1,1

Links

Seiichi Manyama, Table of n, a(n) for n = 1..1000

Olivier Rozier, Ramanujan's tau function

Formula

A076847(n) = A000594(prime(n)) = a(n) - A297123(prime(n)) .

Example

a(2) = (1/2) * (32768 + 2*16807 + 2*512) = 33703.
tau(2) = 33703 - 33727 = -24.
a(3) = (1/2) * (331776 + 2*161051 + 2*32768 + 2*81) = 359788.
tau(3) = 359788 - 359536 = 252.

Crossrefs

Cf. A000594 (tau(n)), A076847, A297122, A297123.

Sequence in context: A235745 A235504 A355142 * A234187 A209827 A235735

Adjacent sequences: A297124 A297125 A297126 * A297128 A297129 A297130

Keyword

nonn

Author

Seiichi Manyama, Dec 26 2017

Status

approved