A181759 Denominators of an extended Rydberg-Ritz spectrum of hydrogen atom: 1/9 -1/n^2.

1, 36, 9, 0, 9, 36, 1, 144, 225, 12, 441, 576, 81, 900, 1089, 48, 1521, 1764, 75, 2304, 2601, 324, 3249, 3600, 147, 4356, 4761, 64, 5625, 6084, 729, 7056, 7569, 100, 8649, 9216, 363, 10404, 11025

Offset

-3,2

Comments

Companion to A171709. The fractional antispectrum is 0, -5/36, -8/9, -1, -8/9, -5/36, before ( (A061039/A061040) =0, 7/144, ). For case n=0 , -1 must be taken. Paschen case: see A174413.

Links

Table of n, a(n) for n=-3..35.

Formula

a(n) = A061040(n), n>=3.

Crossrefs

Cf. A061040.

Sequence in context: A255868 A385714 A289138 * A280679 A343921 A097488

Adjacent sequences: A181756 A181757 A181758 * A181760 A181761 A181762

Keyword

nonn,frac

Author

Paul Curtz

Status

approved