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A257626 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 + 6. 5
1, 6, 6, 36, 108, 36, 216, 1404, 1404, 216, 1296, 15876, 33696, 15876, 1296, 7776, 166212, 642492, 642492, 166212, 7776, 46656, 1659204, 10701720, 19274760, 10701720, 1659204, 46656, 279936, 16052580, 163263924, 481752360, 481752360, 163263924, 16052580, 279936 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Row sums are: 1, 12, 180, 3240, 68040, 1632960, 44089920, 1322697600, 43649020800, 1571364748800, ... (see A051609).

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 + 6.

EXAMPLE

1

6 6

36 108 36

216 1404 1404 216

1296 15876 33696 15876 1296

7776 166212 642492 642492 166212 7776

46656 1659204 10701720 19274760 10701720 1659204 46656

279936 16052580 163263924 481752360 481752360 163263924 16052580 279936

CROSSREFS

Cf. A142458, A257610, A257620, A257622, A257624.

See similar sequences listed in A256890.

Sequence in context: A038260 A242087 A217978 * A222340 A215270 A203057

Adjacent sequences:  A257623 A257624 A257625 * A257627 A257628 A257629

KEYWORD

nonn,tabl

AUTHOR

Dale Gerdemann, May 10 2015

STATUS

approved

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Last modified March 31 19:37 EDT 2020. Contains 333151 sequences. (Running on oeis4.)