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Search: id:A084154
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| A084154 |
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Binomial transform of sinh(x)cosh(sqrt(2)x). |
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+0
3
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| 0, 1, 2, 10, 32, 116, 392, 1352, 4608, 15760, 53792, 183712, 627200, 2141504, 7311488, 24963200, 85229568, 290992384, 993509888, 3392055808, 11581202432, 39540700160, 135000393728, 460920178688, 1573679923200, 5372879343616
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n)=4a(n-1)-8a(n-3)+4a(n-4), a(0)=0, a(1)=1, a(2)=2, a(3)=10; a(n)=((2+sqrt(2))^n+(2-sqrt(2))^n-sqrt(2)^n-(-sqrt(2))^n)/4; G.f.: x(1-2x+2x^2)/((1-2x^2)(1-4x+2x^2)); E.g.f. : exp(x)sinh(x)cosh(sqrt(2)x).
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CROSSREFS
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Cf. A084155.
Sequence in context: A103290 A131068 A034555 this_sequence A083099 A032095 A004028
Adjacent sequences: A084151 A084152 A084153 this_sequence A084155 A084156 A084157
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), May 16 2003
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