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.

Showing 1-6 of 6 results.

A382702 Indices k where b(k) > k, where b is the EKG sequence A064413.

Original entry on oeis.org

3, 4, 6, 7, 9, 11, 12, 13, 15, 16, 18, 19, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 34, 35, 36, 38, 39, 41, 42, 44, 45, 46, 47, 48, 49, 51, 52, 53, 54, 55, 56, 58, 59, 60, 62, 63, 65, 66, 68, 69, 70, 71, 72, 73, 75, 76, 77, 79, 80, 82, 83, 84, 85, 86, 87, 88, 90, 91, 92, 94, 95, 96, 97, 98, 99, 101, 102, 103, 104, 105, 106, 108
Offset: 1

Views

Author

N. J. A. Sloane, Apr 04 2025

Keywords

Examples

			A064413(3) = 4 > 3, so 3 is a term.
		

Crossrefs

A382703 Numbers k which appear "prematurely" in A064413, that is, k appears before the k-th term.

Original entry on oeis.org

4, 6, 9, 12, 10, 15, 18, 14, 21, 24, 20, 22, 33, 27, 30, 25, 35, 28, 39, 36, 32, 34, 51, 42, 38, 57, 45, 44, 46, 69, 48, 50, 52, 54, 56, 63, 60, 55, 65, 70, 58, 87, 66, 62, 93, 72, 68, 74, 111, 75, 78, 76, 80, 82, 123, 81, 84, 88, 86, 129, 90, 85, 95, 100, 92, 94, 141, 96, 98, 104, 102, 99, 105, 108, 106, 159, 114, 110, 112, 116
Offset: 1

Views

Author

N. J. A. Sloane, Apr 04 2025

Keywords

Comments

a(n) = A064413(A382702(n)).

Examples

			4 appears in A064413 at the third term, so 4 is a term.
		

Crossrefs

A382704 Indices k where b(k) < k, where b is the EKG sequence A064413.

Original entry on oeis.org

5, 10, 14, 17, 20, 27, 28, 33, 37, 43, 50, 57, 61, 67, 74, 78, 81, 89, 93, 100, 107, 115, 124, 128, 134, 138, 151, 160, 167, 171, 182, 189, 197, 203, 207, 210, 213, 216, 236, 253, 259, 264, 279, 287, 290, 297, 305, 314, 328, 336, 344, 363, 371, 377, 381, 401, 420, 430, 438, 444, 458, 462, 474, 487, 501, 510, 517, 530, 540, 549
Offset: 1

Views

Author

N. J. A. Sloane, Apr 04 2025

Keywords

Examples

			A064413(5) = 3 < 5, so 5 is a term.
		

Crossrefs

A382707 a(n) = number of indices k, 1 <= k <= n, such that A064413(k) < k.

Original entry on oeis.org

0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 19
Offset: 1

Views

Author

N. J. A. Sloane, Apr 04 2025

Keywords

Crossrefs

A382705 Numbers k which are "delayed" in A064413, that is, k appears after the k-th term.

Original entry on oeis.org

3, 5, 7, 16, 11, 26, 13, 17, 19, 23, 49, 29, 31, 37, 41, 77, 43, 47, 91, 53, 59, 61, 121, 67, 71, 73, 79, 83, 89, 169, 97, 101, 103, 107, 109, 205, 209, 113, 127, 131, 137, 139, 149, 151, 289, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311
Offset: 1

Views

Author

N. J. A. Sloane, Apr 04 2025

Keywords

Comments

a(n) = A064413(A382704(n)).

Examples

			3 only appears in A064413 at the fourth term, so 3 is a term.
		

Crossrefs

A382706 a(n) = number of indices k, 1 <= k <= n, such that A064413(k) > k.

Original entry on oeis.org

0, 0, 1, 2, 2, 3, 4, 4, 5, 5, 6, 7, 8, 8, 9, 10, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 18, 18, 19, 20, 21, 22, 22, 23, 24, 25, 25, 26, 27, 27, 28, 29, 29, 30, 31, 32, 33, 34, 35, 35, 36, 37, 38, 39, 40, 41, 41, 42, 43, 44, 44, 45, 46, 46, 47, 48, 48, 49, 50, 51, 52, 53, 54, 54, 55, 56, 57, 57, 58, 59, 59, 60, 61, 62, 63, 64, 65, 66
Offset: 1

Views

Author

N. J. A. Sloane, Apr 04 2025

Keywords

Crossrefs

Showing 1-6 of 6 results.