A127451 Beatty sequence for 1/(1 - e^Pi + Pi^e), complement of A127450.

3, 6, 9, 12, 15, 18, 21, 25, 28, 31, 34, 37, 40, 43, 47, 50, 53, 56, 59, 62, 65, 69, 72, 75, 78, 81, 84, 87, 91, 94, 97, 100, 103, 106, 109, 113, 116, 119, 122, 125, 128, 131, 135, 138, 141, 144, 147, 150, 153, 157, 160, 163, 166, 169, 172, 175, 178, 182, 185, 188

Offset: 1

Author

Robert G. Wilson v, Jan 14 2007

Keywords

• easy
• nonn

Comments

Differs from A022844 first at a(57). - L. Edson Jeffery, Dec 01 2013

1/(1 - e^Pi + Pi^e) = 3.140061643.., so a(n)<=A022844(n). - R. J. Mathar, May 30 2025

Links

• Eric Weisstein's World of Mathematics, Beatty Sequence.
• Index entries for sequences related to Beatty sequences

Crossrefs

Cf. A022844, A059563, A063504.

Programs

Mathematica

Table[Floor[n/(1 - Exp[Pi] + Pi^E)], {n, 60}]

Formula

a(n) = floor(n/(1 - e^Pi + Pi^e))