Search: id:A006228
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%I A006228 M1523
%S A006228 1,1,1,2,5,20,85,520,3145,26000,204425,2132000,20646925,260104000,
%T A006228 2993804125,44217680000,589779412625,9993195680000,151573309044625,
%U A006228 2898026747200000,49261325439503125,1049085682486400000
%N A006228 Expansion of exp(arcsin x).
%D A006228 L. B. W. Jolley, Summation of Series. 2nd ed., Dover, NY, 1961, p. 150.
%D A006228 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A006228 H. S. Uhler, On the numerical value of i^i, Amer. Math. Monthly, 28 (1921), 
               114-116.
%H A006228 T. D. Noe, <a href="b006228.txt">Table of n, a(n) for n=0..100</a>
%F A006228 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
%F A006228 a(0)=1, a(1)=1, a(n)=(1+(n-2)^2)*a(n-2) for n>=2 [From Jaume Oliver Lafont 
               (joliverlafont(AT)gmail.com), Oct 24 2009]
%t A006228 Distribute[ CoefficientList[ Series[ E^ArcSin[x], {x, 0, 21}], x] * Table[ 
               n!, {n, 0, 21}]] (from Robert G. Wilson v Feb 10 2004)
%Y A006228 Bisections are expansions of sin(asinh(x)) and cos(asinh(x)).
%Y A006228 Bisections are A101927 and A101928.
%Y A006228 Cf. A002019.
%Y A006228 Cf. A166741, A166748. [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), 
               Oct 24 2009]
%Y A006228 Sequence in context: A009737 A008983 A012768 this_sequence A002484 A003069 
               A115082
%Y A006228 Adjacent sequences: A006225 A006226 A006227 this_sequence A006229 A006230 
               A006231
%K A006228 nonn
%O A006228 0,4
%A A006228 N. J. A. Sloane (njas(AT)research.att.com), Jeffrey Shallit
%E A006228 More terms from Christian G. Bower (bowerc(AT)usa.net)

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