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A267958 4 times A042965. 2
0, 4, 12, 16, 20, 28, 32, 36, 44, 48, 52, 60, 64, 68, 76, 80, 84, 92, 96, 100, 108, 112, 116, 124, 128, 132, 140, 144, 148, 156, 160, 164, 172, 176, 180, 188, 192, 196, 204, 208, 212, 220, 224, 228, 236, 240, 244, 252, 256, 260, 268, 272, 276, 284, 288, 292, 300, 304 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Ordered list of differences between even squares.

LINKS

Table of n, a(n) for n=1..58.

FORMULA

Numbers of the form (2m)^2 - (2n)^2, sorted.

EXAMPLE

(2*0)^2 - (2*0)^2 = 0,

(2*1)^2 - (2*0)^2 = 4,

(2*2)^2 - (2*1)^2 = 12,

(2*2)^2 - (2*0)^2 = 16,

(2*3)^2 - (2*2)^2 = 20,

...

PROG

(Python)

def DifferenceOfEvenSquares(maximumBound):

    sequence = set([0])

    for x in range(0, maximumBound+1, 4):

        if x % 16 != 8:

            sequence.add(x)

    print(sorted(sequence))

CROSSREFS

Cf. A008590, A042965.

Sequence in context: A310564 A053362 A310565 * A077770 A310566 A108269

Adjacent sequences:  A267955 A267956 A267957 * A267959 A267960 A267961

KEYWORD

easy,nonn

AUTHOR

Matthew Burch, Jan 22 2016

STATUS

approved

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Last modified December 3 15:42 EST 2020. Contains 338906 sequences. (Running on oeis4.)