A308703 Integers k such that A308702(k) < k-1.

28, 72, 77, 102, 143, 150, 171, 238, 247, 248, 319, 357, 368, 390, 434, 490, 500, 513, 533, 578, 656, 667, 682, 817, 825, 852, 858, 875, 943, 1054, 1073, 1092, 1113, 1207, 1225, 1300, 1312, 1320, 1333, 1358, 1472, 1575, 1598, 1690, 1691, 1736, 1738, 1862, 1887, 1900, 1943

Offset

1,1

Comments

In many cases A308702(n), the least integer m such that m^2+2*n-1 and m^2+4*n is the trivial solution: m = n-1.

So this sequence lists the integers k for which a smaller m can be found.

Links

Michel Marcus, Table of n, a(n) for n = 1..500

Prog

(PARI) isok2(m, k) = issquare(m) && issquare(m+k-1) && issquare(m+2*k);
findm(k) = my(m=1); while (!isok2(m^2, k), m++); m;
least(n) = findm(2*n); \\ A308702
isok(n) = least(n) != (n-1);

Crossrefs

Cf. A000290 (squares), A308702.

Sequence in context: A110829 A242237 A182465 * A277987 A116314 A341175

Adjacent sequences: A308700 A308701 A308702 * A308704 A308705 A308706

Keyword

nonn

Author

Michel Marcus, Jun 18 2019

Status

approved