A127763 -id:A127763 - cp's OEIS frontend

A127762 Integer part of Gauss's Arithmetic-Geometric Mean M(2,n^2).

1, 2, 4, 7, 10, 13, 16, 20, 25, 29, 34, 39, 45, 51, 57, 64, 71, 78, 86, 93, 102, 110, 119, 128, 137, 147, 157, 167, 177, 188, 199, 210, 222, 234, 246, 258, 271, 284, 297, 311, 325, 339, 353, 368, 382, 398, 413, 429, 444, 461, 477, 494, 511, 528, 545, 563, 581

Offset: 1

Artur Jasinski, Jan 28 2007

nonn

Cf. A127758, A127759, A127760, A127761, A127763, A127764, A127765, A127766.

Table[Floor[ArithmeticGeometricMean[2, n^2]], {n, 1, 100}]

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

A127764 Integer part of Gauss's Arithmetic-Geometric Mean M(2,n^3).

Original entry on oeis.org

1, 4, 10, 20, 35, 55, 82, 116, 157, 206, 265, 333, 411, 500, 601, 714, 839, 978, 1130, 1298, 1480, 1678, 1892, 2123, 2371, 2637, 2922, 3225, 3548, 3892, 4256, 4641, 5047, 5477, 5928, 6404, 6903, 7426, 7974, 8548, 9148, 9774, 10427, 11108, 11816, 12553

Offset: 1

Artur Jasinski, Jan 28 2007

nonn

Cf. A127758, A127759, A127760, A127761, A127762, A127763, A127765, A127766.

Table[Floor[ArithmeticGeometricMean[2, n^3]], {n, 1, 100}]

a(n) ~ Pi*n^3/(6*log(n) + 2*log(2)). - Vaclav Kotesovec, May 09 2016

A127765 Integer part of Gauss's Arithmetic-Geometric Mean M(2,n^4).

Original entry on oeis.org

1, 7, 25, 64, 137, 258, 444, 714, 1086, 1586, 2236, 3063, 4096, 5364, 6899, 8736, 10909, 13455, 16414, 19826, 23734, 28181, 33212, 38876, 45221, 52297, 60158, 68856, 78447, 88988, 100537, 113155, 126903, 141845, 158045, 175570, 194487

Offset: 1

Artur Jasinski, Jan 28 2007

nonn

Cf. A127758, A127759, A127760, A127761, A127762, A127763, A127764, A127766.

Table[Floor[ArithmeticGeometricMean[2, n^4]], {n, 1, 100}]

a(n) ~ Pi*n^4/(8*log(n) + 2*log(2)). - Vaclav Kotesovec, May 09 2016

A127766 Integer part of Gauss's Arithmetic-Geometric Mean M(2,n^5).

Original entry on oeis.org

1, 12, 61, 210, 561, 1265, 2532, 4641, 7941, 12868, 19946, 29796, 43144, 60828, 83804, 113155, 150095, 195980, 252310, 320738, 403077, 501308, 617581, 754227, 913762, 1098894, 1312530, 1557780, 1837964, 2156622, 2517514, 2924630, 3382196

Offset: 1

Artur Jasinski, Jan 28 2007

nonn

Cf. A127758, A127759, A127760, A127761, A127762, A127763, A127764, A127765.

Table[Floor[ArithmeticGeometricMean[2, n^5]], {n, 1, 100}]

a(n) ~ Pi*n^5/(10*log(n) + 2*log(2)). - Vaclav Kotesovec, May 09 2016

cp's OEIS Frontend

A127762 Integer part of Gauss's Arithmetic-Geometric Mean M(2,n^2).

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A127764 Integer part of Gauss's Arithmetic-Geometric Mean M(2,n^3).

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A127765 Integer part of Gauss's Arithmetic-Geometric Mean M(2,n^4).

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A127766 Integer part of Gauss's Arithmetic-Geometric Mean M(2,n^5).

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Author

Keywords

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Programs

Mathematica

Formula