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A121050
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Partial sums of floor(n!/e^n).
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0
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0, 0, 0, 1, 2, 3, 8, 22, 66, 231, 898, 3841, 17916, 90407, 490428, 2844978, 17570216, 115078238, 796630973, 5811215760, 44551231394, 358087648043, 3010990488155, 26433752431414, 241852566790861, 2302304545944429, 22768248457537812
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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FORMULA
| a(n) = SUM[i=1..n] floor(i!/exp(i)).
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EXAMPLE
| a(1) = floor[1!/exp(1)] = floor(0.367879441171) = 0.
a(2) = floor(0.638550007645) = 0.
a(3) = floor(0.937272417852) = 0.
a(4) = floor(1.37684775118) = 1.
a(5) = floor(2.18540139107) = 2.
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CROSSREFS
| Cf. A000142, A055775.
Sequence in context: A098119 A049959 A006545 * A089402 A127940 A006796
Adjacent sequences: A121047 A121048 A121049 * A121051 A121052 A121053
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KEYWORD
| easy,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Aug 08 2006
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