A259964 A specially constructed B_2 sequence with sum of reciprocals greater than that of the Mian-Chowla sequence A005282.

1, 2, 4, 8, 13, 21, 31, 45, 66, 81, 97, 123, 148, 182, 229, 257, 290, 312, 381, 419, 467, 507, 621, 721, 770, 864, 927, 1050, 1178, 1289, 1457, 1561, 1615, 1774, 1907, 2090, 2164, 2263, 2309, 2539, 2800, 2938, 3035, 3310, 3380, 3738, 4043, 4239, 4439, 4726, 4851, 5016, 5169, 5289, 5490, 5760, 6646, 6843, 7015, 7442, 7674, 7986, 8284, 8506, 8772, 9240, 9778, 9996, 10344, 10431, 11614, 12263

Offset: 1

Author

N. J. A. Sloane, Jul 11 2015

Keywords

• nonn

Comments

Constructed using the greedy algorithm (as for A005252) except at 15th term, which is 229.

It had been conjectured that the sum of reciprocals for B_2 sequences was maximized by A005282. This sequence gives a counterexample.

Links

• Zhang Zhen-Xiang, A B_2-sequence with larger reciprocal sum, Math. Comp. 60 (1993), 835-839.

Crossrefs

Cf. A005282.