A330552 Nearest integer to 1/delta_n, where the delta_n are coefficients in Sitaramachandrarao's series for the Riemann zeta function.

2, -12, -157, 212, 345, 4294, -1067, -1177, -4302, 3025, 1841, 2663, -51011, -2456, -1753, -2539, 11982, 1513, 974, 1155, 51830, -737, -371, -328, -702, 369, 116, 74, 78, 1736, -38

Offset

0,1

References

R. Sitaramachandrarao, "Maclaurin coefficients of the Riemann zeta function," Abstracts Amer. Math. Soc, v. 7, 1986, p. 280.

Links

Table of n, a(n) for n=0..30.

Derrick Henry Lehmer, The sum of like powers of the zeros of the Riemann zeta function, Mathematics of computation 50.181 (1988): 265-273.

Example

The values of delta_0 through delta_30 as computed by Lehmer to 30 decimal places are
.500000000000000000000000000000,
-.081061466795327258219670263594,
-.006356455908584851210100026730,
.004711166862254447761060813366,
.002896811986292041012780472259,
.000232907558454724535985837796,
-.000936825130050929504283508545,
-.000849823765001669151706027602,
-.000232431735511559582855690064,
.000330589663612296445256127250,
.000543234115779708472231988943,
.000375493172907263650467030884,
-.000019603536281013919766484025,
-.000407241232563033143432121367,
-.000570492013281777715641291384,
-.000393927078981204421827660819,
.000083458805825501681727648805,
.000660943729628596896169402998,
.001026227286540854002177014155,
.000865575776779282991576072414,
.000019293671783705140106329976,
-.001356906052134549461149137833,
-.002692156458753291284034257109,
-.003051385621241627138845437386,
-.001424291849418545853222186792,
.002707789212886006788197482192,
.008602880969279324256140452025,
.013556162030983539621697371623,
.012778513326691412737021780989,
.000576026175993012089937446958,
-.026465704147079752693730404860.
[Warning: These 31 floating point numbers were extracted by copying & pasting a table from the pdf file of the published article on the Amer. Math. Soc. web site. The OCR software involved in this process is unreliable, and the values should be checked. The same process incorrectly copied the name Sitaramachandrarao from the Lehmer article.]

Crossrefs

Sequence in context: A130529 A075631 A127182 * A326222 A208577 A012646

Adjacent sequences: A330549 A330550 A330551 * A330553 A330554 A330555

Keyword

sign,more

Author

N. J. A. Sloane, Dec 20 2019

Status

approved