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Search: id:A006228
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| A006228 |
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Expansion of exp(arcsin x).
(Formerly M1523)
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+0
8
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| 1, 1, 1, 2, 5, 20, 85, 520, 3145, 26000, 204425, 2132000, 20646925, 260104000, 2993804125, 44217680000, 589779412625, 9993195680000, 151573309044625, 2898026747200000, 49261325439503125, 1049085682486400000
(list; graph; listen)
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OFFSET
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0,4
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REFERENCES
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H. S. Uhler, On the numerical value of i^i, Amer. Math. Monthly, 28 (1921), 114-116.
L. B. W. Jolley, Summation of Series. 2nd ed., Dover, NY, 1961, p. 150.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..100
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FORMULA
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i even: a_i = prod_{j=1}^{i/2-1} 1 + 4j^2, i odd: a_i = prod_{j=1}^{(i-1)/2} 2 + 4j(j-1) - Cris Moore (moore(AT)santafe.edu), Jan 31 2001
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MATHEMATICA
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Distribute[ CoefficientList[ Series[ E^ArcSin[x], {x, 0, 21}], x] * Table[ n!, {n, 0, 21}]] (from Robert G. Wilson v Feb 10 2004)
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CROSSREFS
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Bisections are expansions of sin(asinh(x)) and cos(asinh(x)).
Bisections are A101927 and A101928.
Cf. A002019.
Sequence in context: A009737 A008983 A012768 this_sequence A002484 A003069 A115082
Adjacent sequences: A006225 A006226 A006227 this_sequence A006229 A006230 A006231
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KEYWORD
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nonn
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AUTHOR
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njas, Jeffrey Shallit
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EXTENSIONS
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More terms from Christian G. Bower (bowerc(AT)usa.net)
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