A214667 The y-coordinates of prime numbers in an Ulam spiral oriented counterclockwise with first step west.

0, -1, -1, 1, 0, -2, -2, 0, 2, -1, -3, -3, 1, 3, 3, 0, -4, -4, -2, 2, 4, 4, 3, -3, -5, -5, -3, 1, 3, 5, 0, -4, -6, -6, -2, 0, 6, 6, 6, 3, -3, -5, -7, -7, -7, -5, 7, 7, 6, 4, 0, -6, -8, -8, -8, -2, 4, 6, 8, 8, 8, 5, -9, -9, -9, -9, -3, 3, 9, 9, 9, 9, 4, -2, -8

Offset

1,6

Comments

The eight possible orientations of the Ulam spiral can be derived from combining either A214664 or A214666 with either A214665 or A214667 as ordered pairs of coordinates.

This spiral is rotated 180 degrees from the spiral on the March 1964 cover of Scientific American.

Links

William Rex Marshall, Table of n, a(n) for n = 1..10077 (coordinates of primes in a 325 X 325 square)

Crossrefs

Cf. A000040, A063826, A214664, A214665, A214666.

Sequence in context: A045719 A114906 A259179 * A214665 A352557 A229723

Adjacent sequences: A214664 A214665 A214666 * A214668 A214669 A214670

Keyword

sign,easy

Author

William Rex Marshall, Jul 26 2012

Status

approved