A200678 Partial sums of A200675.

1, 2, 3, 4, 6, 8, 10, 12, 16, 20, 24, 28, 36, 44, 52, 60, 76, 92, 108, 124, 156, 188, 220, 252, 316, 380, 444, 508, 636, 764, 892, 1020, 1276, 1532, 1788, 2044, 2556, 3068, 3580, 4092, 5116, 6140, 7164, 8188, 10236, 12284, 14332, 16380, 20476, 24572, 28668, 32764

Offset: 1

Author

Jeremy Gardiner, Nov 20 2011

Keywords

• nonn

Comments

Partial sums of powers of 2 repeated 4 times.

The first few terms of this sequence appear in the reference by Szymczak, et al., as contour levels in intensity maps of maser emissions.

Examples

			a(5) = 1+1+1+1+2 = 6.
		

Links

• M. Szymczak, R. J. Cohen and A. M. S. Richards, Full polarization structure of the OH main-line maser envelopes of W Hydrae, Monthly Notices of the Royal Astronomical Society, Volume 297, Issue 4, pp. 1151-1162.
• Index entries for linear recurrences with constant coefficients, signature (1,0,0,2,-2).

Crossrefs

Cf. A027383, A200672, A200675.

Programs

BASIC

for i=0 to 12 : for j=1 to 4 : s=s+2^i : print s : next j : next i

Formula

G.f.: x*(1+x)*(1+x^2) / ( (x-1)*(2*x^4-1) ). - R. J. Mathar, Nov 21 2011