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A320958
The exponential limit of arcsin (odd indices only).
4
1, 5, 468, 197325, 233145675, 605979974250, 2987147975582925, 25254853526009732625, 340477692051264295027500, 6926101229658271208893970625, 203562520854789108487169894574375, 8346651541805126492397454664310896250, 463877742240727904202821053051014479795625
OFFSET
0,2
COMMENTS
See A320956 for definitions and comments.
EXAMPLE
Illustration of the convergence in the sense of A320956:
[0] 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...
[1] 0, 1, 0, 1, 0, 9, 0, 225, 0, 11025, ... A177145, A001818
[2] 0, 1, 0, 4, 0, 144, 0, 14400, 0, 2822400, ... A122747
[3] 0, 1, 0, 5, 0, 369, 0, 82125, 0, 36173025, ...
[4] 0, 1, 0, 5, 0, 459, 0, 160875, 0, 121837275, ...
[5] 0, 1, 0, 5, 0, 468, 0, 192375, 0, 198472050, ...
[6] 0, 1, 0, 5, 0, 468, 0, 197100, 0, 227644200, ...
[7] 0, 1, 0, 5, 0, 468, 0, 197325, 0, 232737750, ...
[8] 0, 1, 0, 5, 0, 468, 0, 197325, 0, 233134650, ...
[9] 0, 1, 0, 5, 0, 468, 0, 197325, 0, 233145675, ...
MAPLE
# Function ExpLim defined in A320956.
L := [ExpLim(28, arcsin)]: seq(L[2*n], n=1..13);
MATHEMATICA
m = 13; CoefficientList[ArcSin[x] + O[x]^(2 m + 1), x]*Range[0, 2 m - 1]!*BellB[Range[0, 2 m - 1]] // DeleteCases[#, 0]& (* Jean-François Alcover, Jul 23 2019 *)
CROSSREFS
Cf. A320955 (exp), A320962 (log(x+1)), A320956 (sec+tan), this sequence (arcsin),
A320959 (arctanh).
Sequence in context: A212043 A182403 A125534 * A262384 A024071 A321939
KEYWORD
nonn
AUTHOR
Peter Luschny, Nov 08 2018
STATUS
approved