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A257623 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) = 5*x + 3. 8
1, 3, 3, 9, 48, 9, 27, 501, 501, 27, 81, 4494, 13026, 4494, 81, 243, 37815, 250230, 250230, 37815, 243, 729, 309324, 4122735, 9008280, 4122735, 309324, 729, 2187, 2498649, 62256627, 256971945, 256971945, 62256627, 2498649, 2187 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Row sums are: 1, 6, 66, 1056, 22176, 576576, 17873856, 643458816, 26381811456, 1213563326976, ... (see A008548).

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) = 5*x + 3.

EXAMPLE

1

3 3

9 48 9

27 501 501 27

81 4494 13026 4494 81

243 37815 250230 250230 37815 243

729 309324 4122735 9008280 4122735 309324 729

2187 2498649 62256627 256971945 256971945 62256627 2498649 2187

CROSSREFS

Cf. A142460, A257614.

Cf. A038221, A257180, A257611, A257620, A257621, A257625, A257627.

Similar sequences listed in A256890.

Sequence in context: A038080 A257621 A190960 * A257625 A216147 A257627

Adjacent sequences:  A257620 A257621 A257622 * A257624 A257625 A257626

KEYWORD

nonn,tabl

AUTHOR

Dale Gerdemann, May 10 2015

STATUS

approved

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Last modified April 5 04:56 EDT 2020. Contains 333238 sequences. (Running on oeis4.)