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A013378
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cos(sin(x)-arcsinh(x))=1-8064/10!*x^10+1419264/12!*x^12...
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0
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1, 0, 0, 0, 0, -8064, 1419264, -262662400, 59455492096, -16726941245440, 5796860719775744, -2439524053684551680, 1228699611612771516416, -730845840019971307929600, 507327256430827248463380480
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OFFSET
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0,6
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LINKS
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Table of n, a(n) for n=0..14.
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FORMULA
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a(n) ~ (-1)^n * sinh(Pi/2-sinh(1)) * 2^(2*n) * n^(2*n-1) / exp(2*n). - Vaclav Kotesovec, Nov 01 2013
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MATHEMATICA
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Table[n!*SeriesCoefficient[Cos[Sin[x]-ArcSinh[x]], {x, 0, n}], {n, 0, 40, 2}] (* Vaclav Kotesovec, Nov 01 2013 *)
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CROSSREFS
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Sequence in context: A159224 A234446 A318104 * A013458 A172775 A172843
Adjacent sequences: A013375 A013376 A013377 * A013379 A013380 A013381
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KEYWORD
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sign
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AUTHOR
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Patrick Demichel (patrick.demichel(AT)hp.com)
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STATUS
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approved
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