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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

%I

%S 1,6,6,36,108,36,216,1404,1404,216,1296,15876,33696,15876,1296,7776,

%T 166212,642492,642492,166212,7776,46656,1659204,10701720,19274760,

%U 10701720,1659204,46656,279936,16052580,163263924,481752360,481752360,163263924,16052580,279936

%N 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.

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

%F 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.

%e 1

%e 6 6

%e 36 108 36

%e 216 1404 1404 216

%e 1296 15876 33696 15876 1296

%e 7776 166212 642492 642492 166212 7776

%e 46656 1659204 10701720 19274760 10701720 1659204 46656

%e 279936 16052580 163263924 481752360 481752360 163263924 16052580 279936

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

%Y See similar sequences listed in A256890.

%K nonn,tabl

%O 0,2

%A _Dale Gerdemann_, May 10 2015

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Last modified June 7 02:48 EDT 2020. Contains 334836 sequences. (Running on oeis4.)