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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

See A320956 for definitions and comments.

LINKS

Table of n, a(n) for n=0..12.

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-Fran├žois Alcover, Jul 23 2019 *)

CROSSREFS

Cf. A320955 (exp), A320962 (log(x+1)), A320956 (sec+tan), this sequence (arcsin),

A320959 (arctanh).

Cf. A177145, A001818, A122747.

Sequence in context: A212043 A182403 A125534 * A262384 A024071 A321939

Adjacent sequences:  A320955 A320956 A320957 * A320959 A320960 A320961

KEYWORD

nonn

AUTHOR

Peter Luschny, Nov 08 2018

STATUS

approved

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Last modified September 24 07:28 EDT 2020. Contains 337317 sequences. (Running on oeis4.)