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A257617 Triangle read by rows: T(n,k) = t(n-k, k); t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), where f(x) = 7*x + 2. 9
1, 2, 2, 4, 36, 4, 8, 388, 388, 8, 16, 3676, 12416, 3676, 16, 32, 33564, 283204, 283204, 33564, 32, 64, 303260, 5538184, 13027384, 5538184, 303260, 64, 128, 2732156, 99831564, 465775352, 465775352, 99831564, 2732156, 128 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Row sums are: 1, 4, 44, 792, 19800, 633600, 24710400, 1136678400, 60243955200, 3614637312000, ... (see A144827).

LINKS

Table of n, a(n) for n=0..35.

FORMULA

T(n,k) = t(n-k, k); t(0,0) = 1, t(n,m) = 0 if n < 0 or m < 0, else t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), where f(x) = 7*x + 2.

EXAMPLE

1

2 2

4 36 4

8 388 388 8

16 3676 12416 3676 16

32 33564 283204 283204 33564 32

64 303260 5538184 13027384 5538184 303260 64

128 2732156 99831564 465775352 465775352 99831564 2732156 128

CROSSREFS

Cf. A142462, A257627.

Cf. A038208, A256890, A257609, A257610, A257612, A257614, A257616, A257618, A257619

Similar sequences listed in A256890.

Sequence in context: A296048 A327011 A300361 * A309344 A257618 A088895

Adjacent sequences:  A257614 A257615 A257616 * A257618 A257619 A257620

KEYWORD

nonn,tabl

AUTHOR

Dale Gerdemann, May 09 2015

STATUS

approved

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Last modified February 22 12:33 EST 2020. Contains 332136 sequences. (Running on oeis4.)