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A257616 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) = 6*x + 2. 9
1, 2, 2, 4, 32, 4, 8, 312, 312, 8, 16, 2656, 8736, 2656, 16, 32, 21664, 175424, 175424, 21664, 32, 64, 174336, 3019200, 7016960, 3019200, 174336, 64, 128, 1397120, 47847552, 218838400, 218838400, 47847552, 1397120, 128, 256, 11182592, 722956288, 5907889664, 11379596800, 5907889664, 722956288, 11182592, 256 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Row sums are: 1, 4, 40, 640, 14080, 394240, 13404160, 536166400, 24663654400, 1282510028800, 74385581670400, ... (see A049308).

LINKS

Table of n, a(n) for n=0..44.

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) = 6*x + 2.

EXAMPLE

1

2 2

4 32 4

8 312 312 8

16 2656 8736 2656 16

32 21664 175424 175424 21664 32

64 174336 3019200 7016960 3019200 174336 64

128 1397120 47847552 218838400 218838400 47847552 1397120 128

256 11182592 722956288 5907889664 11379596800 5907889664 722956288 11182592 256

CROSSREFS

Cf.  A142461,  A257625.

Cf. A038208, A256890, A257609, A257610, A257612, A257614, A257617, A257618, A257619.

Similar sequences listed in A256890.

Sequence in context: A266046 A032334 A032082 * A296048 A327011 A300361

Adjacent sequences:  A257613 A257614 A257615 * A257617 A257618 A257619

KEYWORD

nonn,tabl

AUTHOR

Dale Gerdemann, May 09 2015

STATUS

approved

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Last modified February 22 14:51 EST 2020. Contains 332137 sequences. (Running on oeis4.)