A109271 Floor of expansion (1+Pi*x)^e.

1, 8, 23, 17, -4, 3, -4, 5, -10, 16, -34, 69, -150, 336, -777, 1833, -4422, 10852, -27053, 68354, -174820, 451966, -1179915, 3107551, -8250149, 22063698, -59402336, 160918012, -438405420, 1200699624, -3304583628, 9136432371, -25367772162, 70715532758, -197863773109, 555569907134

Offset

1,2

Links

Table of n, a(n) for n=1..36.

Example

[(1+Pi*x)^e=1+e*Pi*x+(1/2)*(e-1)*e*Pi^2*x^2+...=1+8.5*x+23.04*x^2+...=>
(1,8,23...}.

Mathematica

ns=Normal[With[{m=50}, s=Series[(1+Pi x)^E, {x, 0, m}]]]; A109271=Floor[ CoefficientList[ns, x]]

Crossrefs

Cf. A075190, A109272.

Sequence in context: A215740 A304177 A306834 * A029755 A022420 A326741

Adjacent sequences: A109268 A109269 A109270 * A109272 A109273 A109274

Keyword

sign

Author

Zak Seidov, Jun 24 2005

Status

approved