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A257608 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) = 9*x + 1. 2

%I

%S 1,1,1,1,20,1,1,219,219,1,1,2218,8322,2218,1,1,22217,220222,220222,

%T 22217,1,1,222216,5006247,12332432,5006247,222216,1,1,2222215,

%U 105340629,530539235,530539235,105340629,2222215,1,1,22222214,2123693776,19700767514,39259903390,19700767514,2123693776,22222214,1

%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) = 9*x + 1.

%C Row sums are: 1, 2, 22, 440, 12760, 484880, ... (see A084949).

%H G. Strasser, <a href="http://dx.doi.org/10.1017/S0305004110000538">Generalisation of the Euler adic</a>, Math. Proc. Camb. Phil. Soc. 150 (2010) 241-256, Triangle A_9(n,k).

%e 1

%e 1 1

%e 1 20 1

%e 1 219 219 1

%e 1 2218 8322 2218 1

%e 1 22217 220222 220222 22217 1

%e 1 222216 5006247 12332432 5006247 222216 1

%e 1 2222215 105340629 530539235 530539235 105340629 2222215 1

%e 1 22222214 2123693776 19700767514 39259903390 19700767514 2123693776 22222214 1

%Y Cf. A257619

%Y Cf. A144431, A007318, A008292, A060187, A142458, A142459, A142460, A142461, A142462, A167884

%Y Similar sequences listed in A256890.

%K nonn,tabl

%O 0,5

%A _Dale Gerdemann_, May 03 2015

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Last modified March 31 19:16 EDT 2020. Contains 333151 sequences. (Running on oeis4.)