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Binomial transform of A130196.
2

%I #12 Jul 25 2023 08:47:06

%S 1,2,1,5,3,1,12,8,4,1,27,20,12,5,1,58,47,32,17,6,1,121,105,79,49,23,7,

%T 1,248,226,184,128,72,30,8,1,503,474,410,312,200,102,38,9,1,1014,977,

%U 884,722,512,302,140,47,10,1,2037,1991,1861,1606,1234,814,442,187,57,11,1

%N Binomial transform of A130196.

%C Row sums = A002064, the Cullen numbers: (1, 3, 9, 25, 65, 161, 385, ...).

%C Left border = A000325, (2^n - n) starting (1, 2, 5, 12, 27, 58, ...).

%C Equals A129689 with first column removed. - _Georg Fischer_, Jul 25 2023

%F A007318 * A130196 as infinite lower triangular matrices.

%e First few rows of the triangle:

%e 1;

%e 2, 1;

%e 5, 3, 1;

%e 12, 8, 4, 1;

%e 27, 20, 12, 5, 1;

%e 58, 47, 32, 17, 6, 1;

%e 121, 105, 79, 49, 23, 7, 1;

%e ...

%Y Cf. A000325, A002064, A007318, A129689, A130196.

%K nonn,tabl

%O 1,2

%A _Gary W. Adamson_, May 16 2007

%E a(32) corrected and more terms from _Georg Fischer_, Jul 25 2023