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A109271
Floor of expansion (1+Pi*x)^e.
2
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
EXAMPLE
(1+Pi*x)^e = 1 + e*Pi*x + (1/2)*(e-1)*e*Pi^2*x^2 + ...
a(1) = floor(1) = 1.
a(2) = floor(e*Pi) = 8.
a(3) = floor((1/2)*(e-1)*e*Pi^2) = 23.
MATHEMATICA
ns=Normal[With[{m=50}, s=Series[(1+Pi x)^E, {x, 0, m}]]]; A109271=Floor[ CoefficientList[ns, x]]
CROSSREFS
Sequence in context: A215740 A304177 A306834 * A029755 A022420 A326741
KEYWORD
sign
AUTHOR
Zak Seidov, Jun 24 2005
STATUS
approved