A144448 First bisection of A061039.

0, 16, 40, 8, 112, 160, 8, 280, 352, 16, 520, 616, 80, 832, 952, 40, 1216, 1360, 56, 1672, 1840, 224, 2200, 2392, 32, 2800, 3016, 40, 3472, 3712, 440, 4216, 4480, 176, 5032, 5320, 208, 5920, 6232, 728, 6880, 7216, 280, 7912, 8272, 320, 9016, 9400, 1088, 10192, 10600, 136, 11440, 11872, 152

Offset: 1

Author

Paul Curtz, Oct 06 2008

Keywords

• nonn

Comments

From Paschen spectrum of hydrogen.

All numbers are multiples of 8.

Links

• G. C. Greubel, Table of n, a(n) for n = 1..5000
• Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Crossrefs

Cf. A061039, A178978.

Programs

Mathematica

Table[Numerator[1/3^2 - 1/(2*n+1)^2], {n,100}] (* G. C. Greubel, Mar 06 2022 *)

Sage

[numerator(1/9 -1/(2*n+1)^2) for n in (1..100)] # G. C. Greubel, Mar 06 2022

Formula

a(n) = A061039(2*n+1).

From G. C. Greubel, Mar 06 2022: (Start)

a(n) = 3*a(n-27) - 3*a(n-54) + a(n-81).

a(n) = 8*A178978(n). (End)

Extensions

Formula index corrected, extended by R. J. Mathar, Dec 02 2008