cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

Original entry on oeis.org

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

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Author

N. J. A. Sloane, Dec 28 2024

Keywords

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.

Examples

			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

See also A380837 and A380838.