A320141 a(n) is the sum of the nearest integer to the imaginary part of the n-th zero of the Riemann zeta function and the n-th prime.

16, 24, 30, 37, 44, 51, 58, 62, 71, 79, 84, 93, 100, 104, 112, 120, 129, 133, 143, 148, 152, 162, 168, 176, 186, 193, 198, 203, 208, 214, 231, 236, 244, 250, 261, 265, 273, 282, 288, 296, 303, 309, 321, 324, 330, 334, 349, 363, 368, 372, 379, 386, 391, 402, 410, 419, 427, 430, 438, 444

Offset

1,1

Links

Table of n, a(n) for n=1..60.

Formula

a(n) = A002410(n) + A000040(n).

Example

14 + 2 = 16, 21 + 3 = 24, 25 + 5 = 30.

Prog

(PARI) lista(nn) = my(v=apply(round, lfunzeros(lzeta, nn))); vector(#v, n, v[n] + prime(n)); \\

Crossrefs

Cf. A000040, A002410.

Sequence in context: A166319 A271783 A114415 * A225903 A033987 A140349

Adjacent sequences: A320138 A320139 A320140 * A320142 A320143 A320144

Keyword

nonn

Author

Mark A. Thomas, Oct 06 2018

Status

approved