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A090170
a(n) = floor(e^(n*g)), where g = Euler's Gamma constant, 0.57721566490153...
0
1, 1, 3, 5, 10, 17, 31, 56, 101, 180, 321, 572, 1019, 1814, 3232, 5757, 10254, 18263, 32528, 57936, 103188, 183786, 327336, 583010, 1038383, 1849436, 3293980, 5866817, 10449227, 18610831, 33147237, 59037630, 105150296, 187280292, 333559762, 594094093
OFFSET
0,3
COMMENTS
a(n)/a(n-1) converges to e^g. Example: a(27)/a(26) = 5866817/3293980 = 1.781072441, where e^g = 1.78107241799... = A073004.
EXAMPLE
a(11): 11*g = 6.349372...; e^6.349372...= 572.13347...; take floor => 572.
MATHEMATICA
Floor[E^(EulerGamma*Range[50])] (* Harvey P. Dale, May 21 2021 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Gary W. Adamson, Nov 23 2003
EXTENSIONS
Corrected by Harvey P. Dale, May 21 2021
STATUS
approved