A234362 -id:A234362

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A234363

a(n) = floor(agm(n, triangular(n))), where agm denotes the arithmetic-geometric mean.

+10
2

0, 1, 2, 4, 6, 9, 12, 15, 19, 23, 27, 32, 37, 42, 48, 54, 60, 66, 73, 80, 88, 95, 103, 111, 120, 129, 138, 147, 156, 166, 176, 187, 197, 208, 219, 231, 242, 254, 267, 279, 292, 305, 318, 331, 345, 359, 373, 388, 402, 417, 432, 448, 464, 479, 496, 512, 529, 546

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

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..57.

FORMULA

a(n) ~ Pi*n^2/(4*log(2*n)). - Vaclav Kotesovec, May 09 2016

MATHEMATICA

Table[Floor[ArithmeticGeometricMean[n, (n(n+1))/2]], {n, 0, 60}] (* Harvey P. Dale, Aug 17 2014 *)

CROSSREFS

Cf. A000217, A061979, A076145, A234362.

KEYWORD

nonn

AUTHOR

Alex Ratushnyak, Dec 24 2013

STATUS

approved

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