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A234369 Floor(AGM(1, triangular(n))), where AGM denotes the arithmetic-geometric mean. 0
0, 1, 1, 2, 4, 5, 7, 9, 11, 13, 16, 18, 21, 24, 27, 30, 33, 37, 41, 44, 48, 53, 57, 61, 66, 71, 76, 81, 86, 91, 97, 102, 108, 114, 120, 126, 132, 139, 145, 152, 159, 166, 173, 180, 187, 195, 202, 210, 218, 226, 234, 242, 251, 259, 268, 277, 286, 295, 304, 313, 323, 332 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
FORMULA
a(n) ~ Pi*n^2/(8*log(n) + 4*log(2)). - Vaclav Kotesovec, May 09 2016
MATHEMATICA
Table[Floor[ArithmeticGeometricMean[1, n*(n+1)/2]], {n, 0, 100}] (* Vaclav Kotesovec, May 09 2016 *)
Floor[ArithmeticGeometricMean[1, #]]&/@Accumulate[Range[0, 100]] (* Harvey P. Dale, Nov 01 2022 *)
CROSSREFS
Sequence in context: A185546 A066026 A112671 * A056838 A045922 A258049
KEYWORD
nonn
AUTHOR
Alex Ratushnyak, Dec 25 2013
STATUS
approved

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Last modified February 21 05:17 EST 2024. Contains 370219 sequences. (Running on oeis4.)