A334486 - OEIS

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A334486

a(n) is the Y-coordinate of the n-th point of Gosper's flowsnake curve; sequence A334485 gives X-coordinates.

4

0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 3, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 3, 2, 3, 4, 5, 5, 6, 6, 7, 7, 7, 6, 6, 7, 7, 8, 8, 8, 7, 6, 5, 4, 5, 6, 6, 5, 5, 6, 6, 7, 7, 7, 6, 6, 7, 8, 8, 7, 8, 9, 9, 10, 11, 11, 10, 11, 12, 13, 13, 13, 12, 12, 11, 11, 10, 9, 10, 10

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,5

COMMENTS

Coordinates are given on a hexagonal lattice with X-axis and Y-axis as follows:

Y

/

/

0 ---- X

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..2401

Rémy Sigrist, PARI program for A334486

Wikipedia, Gosper curve

Index entries for sequences related to coordinates of 2D curves

EXAMPLE

The Gosper curve starts (on a hexagonal lattice) as follows:

. . . . . +---+---+ . . . .

\ \

. . +---+---+ +---+ + . . . .

\ \ / /

. . . +---+ +---+ + +---+ . .

/ \ \ \

. . +---+ +---+---+ + + + . .

/ \ \ \ / 49

. . + +---+ +---+ + + . . .

\ \ \ / /

. . + + +---+ + +---+ . . .

\ / \ / /10

. . . + +---+---+ + + . . .

25 \ \ /9

. . . . +---+ +---+ . . . .

/ 7 8

. . . . +---+ . . . . . .

0 1

- hence a(2) = a(3) = a(7) = a(8) = 1.

PROG

(PARI) See Links section.

CROSSREFS

Cf. A334485 (X coordinate), A229214 (direction +-1,2,3), A261180 (direction 0..5).

Sequence in context: A141604 A143996 A301562 * A356997 A171412 A248213

Adjacent sequences: A334483 A334484 A334485 * A334487 A334488 A334489

KEYWORD

nonn

AUTHOR

Rémy Sigrist, May 03 2020

STATUS

approved