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Triangle read by rows: A007318^(-1) * A136536.
1

%I #14 Jun 07 2023 08:52:29

%S 1,1,2,2,3,3,4,4,10,4,9,9,13,25,5,21,21,21,51,51,6,51,51,51,66,166,91,

%T 7,127,127,127,127,267,442,148,8,323,323,323,323,379,1009,1009,225,9,

%U 835,835,835,835,835,1465,3229,2053,325,10,2188,2188,2188,2188,2188,2398,5926,8866,3826,451,11,5798,5798,5798,5798,5798,5798,8570,21506,21506,6656,606,12

%N Triangle read by rows: A007318^(-1) * A136536.

%C Row sums = A025566 starting (1, 3, 8, 22, 61, 483, ...).

%C Left column = A001006: (1, 1, 2, 4, 9, 21, 51, ...).

%C A007318^(-1) = A130595. - _Georg Fischer_, Jun 07 2023

%F Inverse binomial transform of A136536.

%e First few rows of the triangle:

%e 1;

%e 1, 2;

%e 2, 3, 3;

%e 4, 4, 10, 4;

%e 9, 9, 13, 25, 5;

%e 21, 21, 21, 51, 51, 6;

%e 51, 51, 51, 66, 166, 91, 7;

%e ...

%Y Cf. A001006, A025566, A130595 (= A007318^(-1)), A136536.

%K nonn,tabl

%O 1,3

%A _Gary W. Adamson_, Jan 04 2008

%E a(38) = 323 corrected and more terms from _Georg Fischer_, Jun 07 2023