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A259964 A specially constructed B_2 sequence with sum of reciprocals greater than that of the Mian-Chowla sequence A005282. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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

Table of n, a(n) for n=1..72.

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

CROSSREFS

Cf. A005282.

Sequence in context: A004978 A005282 A046185 * A218913 A241691 A164429

Adjacent sequences:  A259961 A259962 A259963 * A259965 A259966 A259967

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jul 11 2015

STATUS

approved

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Last modified June 20 22:18 EDT 2018. Contains 305615 sequences. (Running on oeis4.)