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A084154 Binomial transform of sinh(x)cosh(sqrt(2)x). 2
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; refs; listen; history; internal format)
OFFSET

0,3

FORMULA

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).

CROSSREFS

Cf. A084155.

Sequence in context: A103290 A131068 A034555 * A083099 A032095 A151019

Adjacent sequences:  A084151 A084152 A084153 * A084155 A084156 A084157

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), May 16 2003

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Last modified February 17 03:45 EST 2012. Contains 205978 sequences.