A080283 -id:A080283 - cp's OEIS frontend

A080284 Numbers n such that (Pi/e)^n is closer to its nearest integer than any value of (Pi/e)^k for 1 <= k < n.

Original entry on oeis.org

1, 5, 44, 49, 93, 94, 204, 283, 338, 547, 919, 1512, 1904, 22563, 52490, 98174

Offset: 1

Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 13 2003

At n=1904, the discrepancy from an integer is 0.00003532...

Cf. A079490, A080052, A080279-A080283.

More terms from Michel ten Voorde Jun 20 2003

A212131 Decimal expansion of k such that e^(ksqrt(163)) = round(e^(Pisqrt(163))).

Original entry on oeis.org

3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8, 9, 7, 9, 3, 2, 3, 8, 4, 6, 2, 6, 4, 3, 3, 8, 3, 2, 7, 9, 7, 2, 6, 6, 1, 9, 3, 4, 7, 5, 4, 9, 8, 8, 0, 8, 8, 3, 5, 2, 2, 4, 2, 2, 2, 9, 2, 9, 6, 2, 8, 7, 7, 4, 4, 2, 2, 5, 8, 7, 3, 9, 0, 5, 1, 0, 4, 9, 3, 7, 8, 7, 5, 5, 1, 0, 7, 4, 4, 5, 7, 7, 6, 7, 2, 0, 2, 4, 1, 5, 7, 9, 6, 7

Offset: 1

Omar E. Pol, Jun 25 2012

Decimal expansion of log(262537412640768744)/sqrt(163).
First differs from A000796 at a(32).
Note that 262537412640768744 = 24*10939058860032031 = 2^3 * 3 * 10939058860032031, is the nearest integer to the value of Ramanujan's constant e^(Pi*sqrt(163)) = 262537412640768743.999999999999250... = A060295.

			3.14159265358979323846264338327972661934754988... (very close to Pi).

Eric Weisstein's World of Mathematics, Ramanujan's constant

Cf. A000796, A003173, A019297, A060295, A080283, A102912, A160514, A160515, A181045.

RealDigits[Log[Round[E^(Pi Sqrt[163])]]/Sqrt[163], 10, 105][[1]] (* Bruno Berselli, Jun 26 2012 *)

k = log(round(e^(Pi*sqrt(163))))/sqrt(163).

More terms from Alois P. Heinz, Jun 25 2012

cp's OEIS Frontend

A080284 Numbers n such that (Pi/e)^n is closer to its nearest integer than any value of (Pi/e)^k for 1 <= k < n.

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A212131 Decimal expansion of k such that e^(ksqrt(163)) = round(e^(Pisqrt(163))).

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cp's OEIS Frontend

A080284 Numbers n such that (Pi/e)^n is closer to its nearest integer than any value of (Pi/e)^k for 1 <= k < n.

Views

Author

Keywords

Comments

Crossrefs

Extensions

A212131 Decimal expansion of k such that e^(k*sqrt(163)) = round(e^(Pi*sqrt(163))).

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Mathematica

Formula

Extensions

A212131 Decimal expansion of k such that e^(ksqrt(163)) = round(e^(Pisqrt(163))).