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A134757 A007318 * A100071. 2
1, 3, 11, 37, 123, 401, 1293, 4131, 13107, 41353, 129873, 406319, 1267093, 3940431, 12224579, 37845117, 116944371, 360771417, 1111332129, 3418840431, 10504903809, 32242682787, 98863833159, 302863592073, 927025884477, 2835306153351, 8665554849903 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Also A007318^(-1) * A037965. [Gary W. Adamson, Nov 10 2007]

LINKS

Table of n, a(n) for n=1..27.

FORMULA

Binomial transform of A100071 starting [1, 2, 6, 12, 30,...].

Inverse binomial transform of A037965 starting [1, 4, 18, 80, 350,...].

a(n) = (n-1)! * [x^(n-1)] exp(x)*((1 + 2*x)*BesselI(0, 2*x) + 2*x*BesselI(1, 2*x)) for n>0, a(0) = 0. - Peter Luschny, Aug 26 2012

EXAMPLE

a(3) = 11 = (1, 2, 1) dot (1, 2, 6) = (1 + 4 + 6), where A100071 = (1, 2, 6, 12, 30,...).

a(3) = 11 = (1, -2, 1) dot (1, 4, 18) = (1 - 8 + 18). [Gary W. Adamson, Nov 10 2007]

CROSSREFS

Cf. A100071, A037965, A107965.

Sequence in context: A192875 A118044 A027062 * A094977 A263986 A192339

Adjacent sequences:  A134754 A134755 A134756 * A134758 A134759 A134760

KEYWORD

nonn

AUTHOR

Gary W. Adamson, Nov 08 2007

STATUS

approved

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Last modified July 4 12:18 EDT 2020. Contains 335448 sequences. (Running on oeis4.)