A090170 a(n) = floor(e^(n*g)), where g = Euler's Gamma constant, 0.57721566490153...

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.

Links

Table of n, a(n) for n=0..35.

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

Cf. A001113, A001620, A073004.

Sequence in context: A215004 A005403 A018072 * A301751 A054166 A265317

Adjacent sequences: A090167 A090168 A090169 * A090171 A090172 A090173

Keyword

nonn

Author

Gary W. Adamson, Nov 23 2003

Extensions

Corrected by Harvey P. Dale, May 21 2021

Status

approved