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A257618 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) = 8*x + 2. 8
1, 2, 2, 4, 40, 4, 8, 472, 472, 8, 16, 4928, 16992, 4928, 16, 32, 49824, 433984, 433984, 49824, 32, 64, 499584, 9505728, 22567168, 9505728, 499584, 64, 128, 4999040, 192085632, 909941120, 909941120, 192085632, 4999040, 128 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Row sums are: 1, 4, 48, 960, 26880, 967680, 42577920, 2214051840, 132843110400, 9033331507200, ... (see A144828).

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) = 8*x + 2.

EXAMPLE

1

2 2

4 40 4

8 472 472 8

16 4928 16992 4928 16

32 49824 433984 433984 49824 32

64 499584 9505728 22567168 9505728 499584 64

128 4999040 192085632 909941120 909941120 192085632 4999040 128

CROSSREFS

Cf. A167884.

Cf. A038208, A256890, A257609, A257610, A257612, A257614, A257616, A257617, A257619.

Similar sequences listed in A256890.

Sequence in context: A300361 A257617 A309344 * A088895 A257619 A075806

Adjacent sequences:  A257615 A257616 A257617 * A257619 A257620 A257621

KEYWORD

nonn,tabl

AUTHOR

Dale Gerdemann, May 09 2015

STATUS

approved

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Last modified February 21 20:46 EST 2020. Contains 332111 sequences. (Running on oeis4.)