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A257610 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) = 3*x + 2. 13
1, 2, 2, 4, 20, 4, 8, 132, 132, 8, 16, 748, 2112, 748, 16, 32, 3964, 25124, 25124, 3964, 32, 64, 20364, 256488, 552728, 256488, 20364, 64, 128, 103100, 2398092, 9670840, 9670840, 2398092, 103100, 128, 256, 518444, 21246736, 147146804, 270783520, 147146804, 21246736, 518444, 256 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Row sums are: 1, 4, 28, 280, 3640, 58240, 1106560, ... (see A007559).

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) = 3*x + 2.

EXAMPLE

1

2 2

4 20 4

8 132 132 8

16 748 2112 748 16

32 3964 25124 25124 3964 32

64 20364 256488 552728 256488 20364 64

128 103100 2398092 9670840 9670840 2398092 103100 128

256 518444 21246736 147146804 270783520 147146804 21246736 518444 256

CROSSREFS

Cf. A142458, A257620, A257622, A257624, A257626.

Cf. A038208, A256890, A257609, A257610, A257612, A257614, A257616, A257617, A257618, A257619.

See similar sequences listed in A256890.

Sequence in context: A006853 A120417 A175185 * A062267 A128501 A288497

Adjacent sequences:  A257607 A257608 A257609 * A257611 A257612 A257613

KEYWORD

nonn,tabl

AUTHOR

Dale Gerdemann, May 03 2015

STATUS

approved

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Last modified February 27 13:18 EST 2020. Contains 332306 sequences. (Running on oeis4.)