A342762 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, the resulting graph has a(n) connected components.

1, 1, 1, 1, 1, 3, 5, 10, 20, 42, 86, 178, 362, 738, 1490, 3010, 6050, 12162, 24386, 48898, 97922, 196098, 392450, 785410, 1571330, 3143682, 6288386

Offset

0,6

Comments

A342759 is the main sequence for this entry.

Links

Table of n, a(n) for n=0..26.

Rémy Sigrist, Illustration of initial terms

Rémy Sigrist, C# program for A342762

Example

See illustration in Links section.

Prog

(C#) See Links section.

Crossrefs

Cf. A342759.

It appears that a(n) = A135094(n-4) + 2 for n >= 5. Hugo Pfoertner, Mar 29 2021

Sequence in context: A182536 A158568 A068013 * A270737 A270724 A018104

Adjacent sequences: A342759 A342760 A342761 * A342763 A342764 A342765

Keyword

nonn,more

Author

Rémy Sigrist and N. J. A. Sloane, Mar 21 2021

Status

approved