A229624 Positive integers k for which the length of shortest addition-subtraction chain is smaller than the length of shortest addition chain, i.e., A128998(k) < A003313(k).

31, 47, 62, 63, 71, 79, 93, 94, 95, 124, 126, 127, 139, 141, 142, 143, 155, 157, 158, 159, 186, 188, 189, 190, 191, 223, 235, 237, 239, 247, 248, 251, 252, 253, 254, 255, 263, 271, 278, 279, 282, 283, 284, 285, 286, 287, 310, 314, 315, 316, 317, 318, 319, 372

Offset: 1

Author

Max Alekseyev, Sep 27 2013

Keywords

• nonn

Links

• Nathan Mihm, Optimal Addition-Subtraction Chains, Bachelor Honors Thesis, Univ. Minnesota-Twin Cities (2025). See pp. 4, 18.

Crossrefs

Cf. A003313, A128998.

Extensions

More terms from Jinyuan Wang, Apr 17 2025