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A061045 Numerator of 1/36 - 1/n^2. 13
-35, -2, -1, -5, -11, 0, 13, 7, 5, 4, 85, 1, 133, 10, 7, 55, 253, 2, 325, 91, 5, 28, 493, 5, 589, 40, 77, 187, 805, 2, 925, 247, 13, 70, 1189, 35, 1333, 88, 55, 391, 1645, 4, 1813, 475, 221, 130, 2173, 7, 2365, 154, 95, 667, 2773, 20, 2989, 775, 119, 208, 3445, 11, 3685, 238, 437, 1015, 4189, 10, 4453, 1147, 175, 304, 5005, 143, 5293, 340, 69, 1435, 5893, 14, 6205, 1591, 725, 418, 6853, 65, 7189, 460, 93, 1927, 7885, 56, 8245, 2107, 319 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Sixth case of Rydberg's formula. From Humphrey's spectrum of hydrogen. See A045944, A000567, A061043, A061046, A061047. [From Paul Curtz, Dec 08 2008]

REFERENCES

Curtis J. Humphreys, The Sixth Series in the Hydrogen Spectrum, Journal of the Optical Society of America, 1952, 42, p. 432 (not seen). [From Paul Curtz, Dec 08 2008]

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

EXAMPLE

The fractions are -35/36, -2/9, -1/12, -5/144, -11/900, 0, 13/1764, 7/576, 5/324, 4/225, 85/4356, 1/48, 133/6084, 10/441, 7/300, 55/2304, 253/10404, 2/81, 325/12996, ...

MATHEMATICA

Numerator[(1/36-1/Range[100]^2)] (* Harvey P. Dale, Mar 17 2013 *)

PROG

(Haskell)

import Data.Ratio ((%), numerator)

a061045 = numerator . (1 % 36 -) . recip . (^ 2) . fromIntegral

-- Reinhard Zumkeller, Jan 06 2014

CROSSREFS

A061046 gives denominators. Cf. A061035-A061050.

Sequence in context: A176199 A059023 A327004 * A331040 A272683 A037934

Adjacent sequences:  A061042 A061043 A061044 * A061046 A061047 A061048

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, May 26 2001

STATUS

approved

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Last modified July 27 21:21 EDT 2021. Contains 346316 sequences. (Running on oeis4.)