The On-Line Encyclopedia of Integer Sequences (OEIS)

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Revision History for A234362

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A234362

Floor(AGM(n^2, n^3)), where AGM denotes the arithmetic-geometric mean.
(history; published version)

#5 by T. D. Noe at Fri Dec 27 14:10:00 EST 2013

STATUS

proposed

approved

#4 by Alex Ratushnyak at Tue Dec 24 20:10:18 EST 2013

STATUS

editing

proposed

#3 by Alex Ratushnyak at Tue Dec 24 20:08:58 EST 2013

NAME

floorFloor(AGM(n^2, n^3)), where AGM denotes the arithmetic-geometric mean.

CROSSREFS

Cf. A000290, A000578, A061979, A076145, A234363.

#2 by Alex Ratushnyak at Tue Dec 24 20:03:17 EST 2013

NAME

allocated for Alex Ratushnyakfloor(AGM(n^2, n^3)), where AGM denotes the arithmetic-geometric mean.

DATA

0, 1, 5, 16, 35, 65, 106, 161, 231, 318, 425, 551, 700, 872, 1069, 1293, 1545, 1827, 2140, 2486, 2866, 3281, 3734, 4225, 4755, 5327, 5942, 6601, 7306, 8057, 8856, 9706, 10606, 11558, 12565, 13626, 14744, 15919, 17154, 18449, 19805, 21225, 22709, 24259, 25876, 27561

OFFSET

0,3

PROG

(Python)

import math

for n in range(67):

x = n*n

y = x*n

a = (x+y)*0.5

g = math.sqrt(x*y)

while abs(a-g)>0.00000000001:

x = a

y = g

a = (x+y)*0.5

g = math.sqrt(x*y)

print str(int(a))+', ',

CROSSREFS

Cf. A000290, A000578, A076145.

KEYWORD

allocated

nonn

AUTHOR

Alex Ratushnyak, Dec 24 2013

STATUS

approved

editing

#1 by Alex Ratushnyak at Tue Dec 24 20:03:17 EST 2013

NAME

allocated for Alex Ratushnyak

KEYWORD

allocated

STATUS

approved