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Triangle read by rows, square of A238303 (an infinite lower triangular matrix with 1's in the first column and the rest 2's).
1

%I #5 Jun 02 2023 02:43:53

%S 1,3,4,5,8,4,7,12,8,4,9,16,12,8,4,11,20,16,12,8,4,13,24,20,16,12,8,4,

%T 15,28,24,20,16,12,8,4,17,32,28,24,20,16,12,8,4,19,36,32,28,24,20,16,

%U 12,8,4

%N Triangle read by rows, square of A238303 (an infinite lower triangular matrix with 1's in the first column and the rest 2's).

%C Row sums = A056220 starting with offset 1: (1, 7, 17, 31, 49, 71, 97,...).

%F Triangle read by rows, square of an infinite lower triangular matrix with 1's in the first column and the rest 2's. Square of (A000012 * (S(k) * 0^(n-k)), 1<=k<=n

%e The square of the infinite lower triangular matrix (1; 1,2; 1,2,2;...) =

%e 1;

%e 3, 4;

%e 5, 8, 4;

%e 7, 12, 8, 4;

%e 9, 16, 12, 8, 4;

%e 11, 20, 16, 12, 8, 4;

%e 13, 24, 20, 16, 12, 8, 4;

%e ...

%Y Cf. A056220, A238303.

%K nonn,tabl

%O 1,2

%A _Gary W. Adamson_ & _Roger L. Bagula_, Aug 26 2008