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A257622 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 + 4. 7
1, 4, 4, 16, 56, 16, 64, 552, 552, 64, 256, 4696, 11040, 4696, 256, 1024, 36968, 171448, 171448, 36968, 1024, 4096, 278232, 2305968, 4457648, 2305968, 278232, 4096, 16384, 2037736, 28346088, 94844912, 94844912, 28346088, 2037736, 16384 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Row sums are: 1, 8, 88, 1232, 20944, 418880, 9634240, 250490240, 7264216960, 232454942720, ... (see A051605).

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) = 3*x + 4.

EXAMPLE

1

4 4

16 56 16

64 552 552 64

256 4696 11040 4696 256

1024 36968 171448 171448 36968 1024

4096 278232 2305968 4457648 2305968 278232 4096

16384 2037736 28346088 94844912 94844912 28346088 2037736 16384

CROSSREFS

Cf. A142458, A257610, A257620, A257624, A257626.

Cf. A257606, A257613.

See similar sequences listed in A256890.

Sequence in context: A298448 A222144 A107382 * A185567 A203536 A038788

Adjacent sequences:  A257619 A257620 A257621 * A257623 A257624 A257625

KEYWORD

nonn,tabl

AUTHOR

Dale Gerdemann, May 10 2015

STATUS

approved

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Last modified February 21 20:35 EST 2020. Contains 332111 sequences. (Running on oeis4.)