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A134083 A007318 * A134082. 5
1, 3, 1, 5, 6, 1, 7, 15, 9, 1, 9, 28, 30, 12, 1, 11, 45, 70, 50, 15, 1, 13, 66, 135, 140, 75, 18, 1, 15, 91, 231, 315, 245, 105, 21, 1, 17, 120, 364, 616, 630, 392, 140, 24, 1, 19, 153, 540, 1092, 1386, 1134, 588, 180, 27, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Row sums = A001787: (1, 4, 12, 32, 80, 192,...). A134083 * [1,2,3,...] = A084850: (1, 5, 20, 68, 208, 592,...).

LINKS

Table of n, a(n) for n=0..54.

FORMULA

Binomial transform of A134082

From formalism in A132382, e.g.f. = I_o[2*(u*x)^(1/2)] exp(x)(1+2x) where I_o is the zeroth modified Bessel function of the first kind, i.e. I_o[2*(u*x)^(1/2)] = sum(j=0,1,...) u^j/j! * x^j/j! . - Tom Copeland, Dec 07 2007

Row polynomial e.g.f.: exp(x*y) exp(x)(1+2x). - Tom Copeland, Dec 03 2013

EXAMPLE

First few rows of the triangle are:

1;

3, 1;

5, 6, 1;

7, 15, 9, 1;

9, 28, 30, 12, 1;

11, 45, 70, 50, 15, 1;

13, 66, 135, 140, 75, 18, 1;

15, 91, 231, 315, 245, 105, 21, 1;

...

CROSSREFS

Cf. A134082, A001787, A084850.

Sequence in context: A049266 A089028 A209758 * A210551 A113445 A108283

Adjacent sequences:  A134080 A134081 A134082 * A134084 A134085 A134086

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Oct 07 2007

STATUS

approved

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Last modified February 19 16:51 EST 2019. Contains 320311 sequences. (Running on oeis4.)