A342760 Fold a square sheet of paper alternately vertically to the left and horizontally downwards; after each fold, draw a line along each inward crease; after n folds, we obtain a graph G(n); G(n) is contained with G(n+1); let H be the limit of G(n) as n tends to infinity; a(n) is the number of nodes of degree 1 or 3 that are at distance n from the origin in H; a(0) = 1.

1, 2, 3, 4, 6, 7, 9, 9, 10, 14, 19, 17, 16, 20, 20, 22, 23, 23, 29, 39, 27, 29, 32, 33, 38, 36, 36, 40, 38, 37, 45, 44, 42, 42, 47, 58, 63, 62, 59, 55, 50, 51, 54, 58, 55, 59, 74, 72, 73, 77, 64, 65, 72, 62, 67, 68, 61, 75, 80, 89, 75, 74, 70, 76, 76, 79, 79

Offset

0,2

Comments

A342759 is the main sequence for this entry.

Links

Table of n, a(n) for n=0..66.

Rémy Sigrist, Illustration of initial terms

Rémy Sigrist, Colored representation of the nodes at distance <= 512 (where the color is function of the distance)

Rémy Sigrist, C# program for A342760

Index entries for coordination sequences

Example

See illustration in Links section.

Prog

(C#) See Links section.

Crossrefs

Cf. A342759.

Sequence in context: A118944 A132988 A363997 * A244912 A249745 A114956

Adjacent sequences: A342757 A342758 A342759 * A342761 A342762 A342763

Keyword

nonn

Author

Rémy Sigrist, Mar 30 2021

Status

approved