A379066 Indices in A377091 where there is a record upward jump from a negative term to a positive term.

0, 4, 9, 20, 31, 42, 60, 81, 100, 121, 147, 183, 210, 241, 272, 307, 342, 400, 441, 484, 529, 576, 651, 703, 757, 813, 871, 931, 1023, 1059, 1125, 1190, 1296, 1369, 1408, 1520, 1598, 1681, 1764, 1849, 1936, 2070, 2209, 2302, 2399, 2500, 2601, 2707, 2862, 2972, 3081, 3192, 3364, 3481, 3600, 3721, 3906, 4033, 4160, 4291, 4422, 4560, 4761, 4900, 5041, 5256, 5403, 5550

Offset

1,2

Comments

These are the indices of record (positive) high points in A379061.

The k-th high point corresponds to a jump in A379061 of height approximately k^2. These heights (whose square roots are 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, ...) do not warrant an OEIS entry of their own.

Links

Paolo Xausa, Table of n, a(n) for n = 1..888 (terms 1..130 from N. J. A. Sloane).

Example

The third term, 9, corresponds to the jump at the 9th term in A377091 from A377091(9) = -3 to A377091(10) = 6. (The fact that this is a jump of 9 = 3^2 is just a coincidence.)
The fourth term, 20, corresponds to the jump of height 25 = 5^2 at the 20th term in A377091 from A377091(20) = -12 to A377091(21) = 13.

Crossrefs

Cf. A377091, A379061, A379062.

See also A380837 and A380838.

Sequence in context: A297190 A075385 A380837 * A048150 A177441 A394499

Adjacent sequences: A379063 A379064 A379065 * A379067 A379068 A379069

Keyword

nonn

Author

N. J. A. Sloane, Dec 28 2024

Status

approved