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Search: id:A109271
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| A109271 |
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Floor of expansion (1+Pi*x)^e. |
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+0
2
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| 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
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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[(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...}.
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MATHEMATICA
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ns=Normal[With[{m=50}, s=Series[(1+Pi x)^E, {x, 0, m}]]]; A109271=Floor[ CoefficientList[ns, x]]
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CROSSREFS
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Cf. A075190, A109272.
Sequence in context: A026593 A131622 A117613 this_sequence A029755 A022420 A034811
Adjacent sequences: A109268 A109269 A109270 this_sequence A109272 A109273 A109274
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KEYWORD
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sign
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Jun 24 2005
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