A077056 Total number of "humps" in all A005316(2n) open meanders with 2n crossings.

1, 1, 4, 22, 140, 992, 7584, 61420, 520320, 4570292, 41354416, 383609434, 3634231140, 35059333218, 343580813492, 3413862553800, 34336784362232, 349131316634164, 3584622273967324, 37128374058146138, 387630493693010928

Offset

0,3

Comments

A "hump" is a local maxima of the upper envelope of the part of the meander that extends above the East-West road.

Links

Table of n, a(n) for n=0..20.

Example

The three open meanders with 4 crossings have respectively 2, 1 and 1 humps, so a(2) = 4.

Crossrefs

Cf. A005316 (open meanders).

Sequence in context: A181784 A369126 A003287 * A227404 A366677 A190271

Adjacent sequences: A077053 A077054 A077055 * A077057 A077058 A077059

Keyword

nonn

Author

N. J. A. Sloane and Jon Wild, Nov 29 2002

Extensions

a(9)-a(20) from Andrew Howroyd, Nov 22 2015

Status

approved