A382708 Number of triples (i,j,k), 1 <= i < j < k <= n such that A064413(i) < A064413(k) < A064413(j).

0, 0, 0, 0, 4, 4, 4, 14, 20, 39, 39, 39, 59, 97, 97, 97, 134, 162, 177, 260, 260, 280, 300, 360, 360, 423, 525, 694, 694, 722, 817, 895, 1129, 1129, 1162, 1254, 1546, 1546, 1615, 1751, 1856, 1925, 2326, 2326, 2436, 2546, 2625, 2704, 2783, 3061, 3104, 3196, 3415, 3458, 3458, 3699, 4439, 4439, 4590, 4890, 5725, 5725, 5842

Offset

1,5

Comments

This is the number of occurrences of the pattern "132" in the first n terms of A064413.

Links

N. J. A. Sloane, Table of n, a(n) for n = 1..100

Example

The first 5 terms of A064413 are 1, 2, 4, 6, 3, and at that point we can see four occurrences of the pattern "132", namely the triples 143, 163, 243, and 263, so a(5) = 4.

Crossrefs

Cf. A064413, A152458, A382702-A382707.

Sequence in context: A245517 A179526 A098525 * A141666 A102127 A201625

Adjacent sequences: A382705 A382706 A382707 * A382709 A382710 A382711

Keyword

nonn

Author

N. J. A. Sloane, Apr 04 2025

Status

approved